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Finding the Fourth Proportional to 22,996.38, 31,734.72 and 12,926.53

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Solution

The fourth proportional to 22,996.38, 31,734.72 and 12,926.53 is: 17,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.38 : 31,734.72 = 12,926.53 : x
  2. Step 2: Convert to fraction form
    22,996.38/31,734.72 = 12,926.53/x
  3. Step 3: Cross multiply
    22,996.38x = 31,734.72 × 12,926.53
  4. Step 4: Simplify right side
    22,996.38x = 410,219,810.12
  5. Step 5: Solve for x
    x = 410,219,810.12/22,996.38
  6. Step 6: Final answer
    x = 17,838.45

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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.