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Finding the Fourth Proportional to 25,737.38, 35,515.94 and 14,404.97

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Solution

The fourth proportional to 25,737.38, 35,515.94 and 14,404.97 is: 19,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.38 : 35,515.94 = 14,404.97 : x
  2. Step 2: Convert to fraction form
    25,737.38/35,515.94 = 14,404.97/x
  3. Step 3: Cross multiply
    25,737.38x = 35,515.94 × 14,404.97
  4. Step 4: Simplify right side
    25,737.38x = 511,606,050.22
  5. Step 5: Solve for x
    x = 511,606,050.22/25,737.38
  6. Step 6: Final answer
    x = 19,877.94

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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.