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Finding the Fourth Proportional to 10,149.52, 15,224.37 and 3,129.46

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Solution

The fourth proportional to 10,149.52, 15,224.37 and 3,129.46 is: 4,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.52 : 15,224.37 = 3,129.46 : x
  2. Step 2: Convert to fraction form
    10,149.52/15,224.37 = 3,129.46/x
  3. Step 3: Cross multiply
    10,149.52x = 15,224.37 × 3,129.46
  4. Step 4: Simplify right side
    10,149.52x = 47,644,056.94
  5. Step 5: Solve for x
    x = 47,644,056.94/10,149.52
  6. Step 6: Final answer
    x = 4,694.22

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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.