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Finding the Fourth Proportional to 24,191.22, 36,277.52 and 9,398.18

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Solution

The fourth proportional to 24,191.22, 36,277.52 and 9,398.18 is: 14,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.22 : 36,277.52 = 9,398.18 : x
  2. Step 2: Convert to fraction form
    24,191.22/36,277.52 = 9,398.18/x
  3. Step 3: Cross multiply
    24,191.22x = 36,277.52 × 9,398.18
  4. Step 4: Simplify right side
    24,191.22x = 340,942,662.91
  5. Step 5: Solve for x
    x = 340,942,662.91/24,191.22
  6. Step 6: Final answer
    x = 14,093.65

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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.