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Finding the Fourth Proportional to 12,262.43, 18,374.20 and 6,987.71

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Solution

The fourth proportional to 12,262.43, 18,374.20 and 6,987.71 is: 10,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.43 : 18,374.20 = 6,987.71 : x
  2. Step 2: Convert to fraction form
    12,262.43/18,374.20 = 6,987.71/x
  3. Step 3: Cross multiply
    12,262.43x = 18,374.20 × 6,987.71
  4. Step 4: Simplify right side
    12,262.43x = 128,393,581.08
  5. Step 5: Solve for x
    x = 128,393,581.08/12,262.43
  6. Step 6: Final answer
    x = 10,470.48

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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.