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Finding the Fourth Proportional to 24,532.56, 33,820.92 and 16,562.16

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Solution

The fourth proportional to 24,532.56, 33,820.92 and 16,562.16 is: 22,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.56 : 33,820.92 = 16,562.16 : x
  2. Step 2: Convert to fraction form
    24,532.56/33,820.92 = 16,562.16/x
  3. Step 3: Cross multiply
    24,532.56x = 33,820.92 × 16,562.16
  4. Step 4: Simplify right side
    24,532.56x = 560,147,488.39
  5. Step 5: Solve for x
    x = 560,147,488.39/24,532.56
  6. Step 6: Final answer
    x = 22,832.82

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