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Finding the Fourth Proportional to 24,230.25, 36,345.38 and 6,460.97

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Solution

The fourth proportional to 24,230.25, 36,345.38 and 6,460.97 is: 9,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.25 : 36,345.38 = 6,460.97 : x
  2. Step 2: Convert to fraction form
    24,230.25/36,345.38 = 6,460.97/x
  3. Step 3: Cross multiply
    24,230.25x = 36,345.38 × 6,460.97
  4. Step 4: Simplify right side
    24,230.25x = 234,826,195.79
  5. Step 5: Solve for x
    x = 234,826,195.79/24,230.25
  6. Step 6: Final answer
    x = 9,691.45

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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.