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Finding the Fourth Proportional to 23,762, 32,761.72 and 15,249.10

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Solution

The fourth proportional to 23,762, 32,761.72 and 15,249.10 is: 21,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762 : 32,761.72 = 15,249.10 : x
  2. Step 2: Convert to fraction form
    23,762/32,761.72 = 15,249.10/x
  3. Step 3: Cross multiply
    23,762x = 32,761.72 × 15,249.10
  4. Step 4: Simplify right side
    23,762x = 499,586,744.45
  5. Step 5: Solve for x
    x = 499,586,744.45/23,762
  6. Step 6: Final answer
    x = 21,024.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.