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Finding the Fourth Proportional to 24,260.31, 36,386.21 and 8,464.10

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Solution

The fourth proportional to 24,260.31, 36,386.21 and 8,464.10 is: 12,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260.31 : 36,386.21 = 8,464.10 : x
  2. Step 2: Convert to fraction form
    24,260.31/36,386.21 = 8,464.10/x
  3. Step 3: Cross multiply
    24,260.31x = 36,386.21 × 8,464.10
  4. Step 4: Simplify right side
    24,260.31x = 307,976,359.29
  5. Step 5: Solve for x
    x = 307,976,359.29/24,260.31
  6. Step 6: Final answer
    x = 12,694.66

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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.