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Finding the Fourth Proportional to 25,689.72, 38,500.02 and 10,103.16

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Solution

The fourth proportional to 25,689.72, 38,500.02 and 10,103.16 is: 15,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.72 : 38,500.02 = 10,103.16 : x
  2. Step 2: Convert to fraction form
    25,689.72/38,500.02 = 10,103.16/x
  3. Step 3: Cross multiply
    25,689.72x = 38,500.02 × 10,103.16
  4. Step 4: Simplify right side
    25,689.72x = 388,971,862.06
  5. Step 5: Solve for x
    x = 388,971,862.06/25,689.72
  6. Step 6: Final answer
    x = 15,141.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.