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Finding the Fourth Proportional to 24,562.72, 36,844.08 and 10,702

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Solution

The fourth proportional to 24,562.72, 36,844.08 and 10,702 is: 16,053

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.72 : 36,844.08 = 10,702 : x
  2. Step 2: Convert to fraction form
    24,562.72/36,844.08 = 10,702/x
  3. Step 3: Cross multiply
    24,562.72x = 36,844.08 × 10,702
  4. Step 4: Simplify right side
    24,562.72x = 394,305,344.16
  5. Step 5: Solve for x
    x = 394,305,344.16/24,562.72
  6. Step 6: Final answer
    x = 16,053

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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.