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Finding the Fourth Proportional to 24,511.72, 36,775.90 and 10,669.80

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Solution

The fourth proportional to 24,511.72, 36,775.90 and 10,669.80 is: 16,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.72 : 36,775.90 = 10,669.80 : x
  2. Step 2: Convert to fraction form
    24,511.72/36,775.90 = 10,669.80/x
  3. Step 3: Cross multiply
    24,511.72x = 36,775.90 × 10,669.80
  4. Step 4: Simplify right side
    24,511.72x = 392,391,497.82
  5. Step 5: Solve for x
    x = 392,391,497.82/24,511.72
  6. Step 6: Final answer
    x = 16,008.32

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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.