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Finding the Fourth Proportional to 22,926,862.84, 31,639,069.65 and 12,613,364.50

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Solution

The fourth proportional to 22,926,862.84, 31,639,069.65 and 12,613,364.50 is: 17,406,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926,862.84 : 31,639,069.65 = 12,613,364.50 : x
  2. Step 2: Convert to fraction form
    22,926,862.84/31,639,069.65 = 12,613,364.50/x
  3. Step 3: Cross multiply
    22,926,862.84x = 31,639,069.65 × 12,613,364.50
  4. Step 4: Simplify right side
    22,926,862.84x = 399,075,117,936,337.38
  5. Step 5: Solve for x
    x = 399,075,117,936,337.38/22,926,862.84
  6. Step 6: Final answer
    x = 17,406,442.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.