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Finding the Fourth Proportional to 24,191.52, 36,301.32 and 9,410.64

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Solution

The fourth proportional to 24,191.52, 36,301.32 and 9,410.64 is: 14,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.52 : 36,301.32 = 9,410.64 : x
  2. Step 2: Convert to fraction form
    24,191.52/36,301.32 = 9,410.64/x
  3. Step 3: Cross multiply
    24,191.52x = 36,301.32 × 9,410.64
  4. Step 4: Simplify right side
    24,191.52x = 341,618,654.04
  5. Step 5: Solve for x
    x = 341,618,654.04/24,191.52
  6. Step 6: Final answer
    x = 14,121.42

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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.