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Finding the Fourth Proportional to 24,414.81, 36,620.21 and 7,774.17

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Solution

The fourth proportional to 24,414.81, 36,620.21 and 7,774.17 is: 11,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.81 : 36,620.21 = 7,774.17 : x
  2. Step 2: Convert to fraction form
    24,414.81/36,620.21 = 7,774.17/x
  3. Step 3: Cross multiply
    24,414.81x = 36,620.21 × 7,774.17
  4. Step 4: Simplify right side
    24,414.81x = 284,691,699.10
  5. Step 5: Solve for x
    x = 284,691,699.10/24,414.81
  6. Step 6: Final answer
    x = 11,660.61

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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.