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Finding the Fourth Proportional to 25,175.67, 37,738.88 and 10,397.04

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Solution

The fourth proportional to 25,175.67, 37,738.88 and 10,397.04 is: 15,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.67 : 37,738.88 = 10,397.04 : x
  2. Step 2: Convert to fraction form
    25,175.67/37,738.88 = 10,397.04/x
  3. Step 3: Cross multiply
    25,175.67x = 37,738.88 × 10,397.04
  4. Step 4: Simplify right side
    25,175.67x = 392,372,592.93
  5. Step 5: Solve for x
    x = 392,372,592.93/25,175.67
  6. Step 6: Final answer
    x = 15,585.39

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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.