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Finding the Fourth Proportional to 25,134.26, 37,687.03 and 10,331

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Solution

The fourth proportional to 25,134.26, 37,687.03 and 10,331 is: 15,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.26 : 37,687.03 = 10,331 : x
  2. Step 2: Convert to fraction form
    25,134.26/37,687.03 = 10,331/x
  3. Step 3: Cross multiply
    25,134.26x = 37,687.03 × 10,331
  4. Step 4: Simplify right side
    25,134.26x = 389,344,706.93
  5. Step 5: Solve for x
    x = 389,344,706.93/25,134.26
  6. Step 6: Final answer
    x = 15,490.60

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Why These Related Problems?

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