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Finding the Fourth Proportional to 12,287.60, 18,424.91 and 5,358.32

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Solution

The fourth proportional to 12,287.60, 18,424.91 and 5,358.32 is: 8,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.60 : 18,424.91 = 5,358.32 : x
  2. Step 2: Convert to fraction form
    12,287.60/18,424.91 = 5,358.32/x
  3. Step 3: Cross multiply
    12,287.60x = 18,424.91 × 5,358.32
  4. Step 4: Simplify right side
    12,287.60x = 98,726,471.63
  5. Step 5: Solve for x
    x = 98,726,471.63/12,287.60
  6. Step 6: Final answer
    x = 8,034.65

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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.