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Finding the Fourth Proportional to 24,194.66, 36,294.29 and 9,404.72

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Solution

The fourth proportional to 24,194.66, 36,294.29 and 9,404.72 is: 14,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.66 : 36,294.29 = 9,404.72 : x
  2. Step 2: Convert to fraction form
    24,194.66/36,294.29 = 9,404.72/x
  3. Step 3: Cross multiply
    24,194.66x = 36,294.29 × 9,404.72
  4. Step 4: Simplify right side
    24,194.66x = 341,337,588.03
  5. Step 5: Solve for x
    x = 341,337,588.03/24,194.66
  6. Step 6: Final answer
    x = 14,107.97

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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.