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Finding the Fourth Proportional to 24,442.68, 36,665.50 and 6,913.84

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Solution

The fourth proportional to 24,442.68, 36,665.50 and 6,913.84 is: 10,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.68 : 36,665.50 = 6,913.84 : x
  2. Step 2: Convert to fraction form
    24,442.68/36,665.50 = 6,913.84/x
  3. Step 3: Cross multiply
    24,442.68x = 36,665.50 × 6,913.84
  4. Step 4: Simplify right side
    24,442.68x = 253,499,400.52
  5. Step 5: Solve for x
    x = 253,499,400.52/24,442.68
  6. Step 6: Final answer
    x = 10,371.18

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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.