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Finding the Fourth Proportional to 24,414.12, 36,624.65 and 7,548.57

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Solution

The fourth proportional to 24,414.12, 36,624.65 and 7,548.57 is: 11,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.12 : 36,624.65 = 7,548.57 : x
  2. Step 2: Convert to fraction form
    24,414.12/36,624.65 = 7,548.57/x
  3. Step 3: Cross multiply
    24,414.12x = 36,624.65 × 7,548.57
  4. Step 4: Simplify right side
    24,414.12x = 276,463,734.25
  5. Step 5: Solve for x
    x = 276,463,734.25/24,414.12
  6. Step 6: Final answer
    x = 11,323.93

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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.