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Finding the Fourth Proportional to 24,243.78, 36,349.56 and 9,454.08

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Solution

The fourth proportional to 24,243.78, 36,349.56 and 9,454.08 is: 14,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.78 : 36,349.56 = 9,454.08 : x
  2. Step 2: Convert to fraction form
    24,243.78/36,349.56 = 9,454.08/x
  3. Step 3: Cross multiply
    24,243.78x = 36,349.56 × 9,454.08
  4. Step 4: Simplify right side
    24,243.78x = 343,651,648.20
  5. Step 5: Solve for x
    x = 343,651,648.20/24,243.78
  6. Step 6: Final answer
    x = 14,174.84

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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.