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Finding the Fourth Proportional to 25,196.84, 34,771.74 and 13,866.38

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Solution

The fourth proportional to 25,196.84, 34,771.74 and 13,866.38 is: 19,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.84 : 34,771.74 = 13,866.38 : x
  2. Step 2: Convert to fraction form
    25,196.84/34,771.74 = 13,866.38/x
  3. Step 3: Cross multiply
    25,196.84x = 34,771.74 × 13,866.38
  4. Step 4: Simplify right side
    25,196.84x = 482,158,160.10
  5. Step 5: Solve for x
    x = 482,158,160.10/25,196.84
  6. Step 6: Final answer
    x = 19,135.66

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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.