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Finding the Fourth Proportional to 24,245.78, 36,352.56 and 9,456.08

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Solution

The fourth proportional to 24,245.78, 36,352.56 and 9,456.08 is: 14,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,245.78 : 36,352.56 = 9,456.08 : x
  2. Step 2: Convert to fraction form
    24,245.78/36,352.56 = 9,456.08/x
  3. Step 3: Cross multiply
    24,245.78x = 36,352.56 × 9,456.08
  4. Step 4: Simplify right side
    24,245.78x = 343,752,715.56
  5. Step 5: Solve for x
    x = 343,752,715.56/24,245.78
  6. Step 6: Final answer
    x = 14,177.84

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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.