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Finding the Fourth Proportional to 24,882.19, 37,323.28 and 6,414.19

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Solution

The fourth proportional to 24,882.19, 37,323.28 and 6,414.19 is: 9,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.19 : 37,323.28 = 6,414.19 : x
  2. Step 2: Convert to fraction form
    24,882.19/37,323.28 = 6,414.19/x
  3. Step 3: Cross multiply
    24,882.19x = 37,323.28 × 6,414.19
  4. Step 4: Simplify right side
    24,882.19x = 239,398,524.05
  5. Step 5: Solve for x
    x = 239,398,524.05/24,882.19
  6. Step 6: Final answer
    x = 9,621.28

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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.