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Finding the Fourth Proportional to 25,073.16, 34,600.92 and 15,002

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Solution

The fourth proportional to 25,073.16, 34,600.92 and 15,002 is: 20,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,073.16 : 34,600.92 = 15,002 : x
  2. Step 2: Convert to fraction form
    25,073.16/34,600.92 = 15,002/x
  3. Step 3: Cross multiply
    25,073.16x = 34,600.92 × 15,002
  4. Step 4: Simplify right side
    25,073.16x = 519,083,001.84
  5. Step 5: Solve for x
    x = 519,083,001.84/25,073.16
  6. Step 6: Final answer
    x = 20,702.74

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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.