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Finding the Fourth Proportional to 25,132.26, 37,684.04 and 10,329

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Solution

The fourth proportional to 25,132.26, 37,684.04 and 10,329 is: 15,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.26 : 37,684.04 = 10,329 : x
  2. Step 2: Convert to fraction form
    25,132.26/37,684.04 = 10,329/x
  3. Step 3: Cross multiply
    25,132.26x = 37,684.04 × 10,329
  4. Step 4: Simplify right side
    25,132.26x = 389,238,397.52
  5. Step 5: Solve for x
    x = 389,238,397.52/25,132.26
  6. Step 6: Final answer
    x = 15,487.60

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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.