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Finding the Fourth Proportional to 12,232.71, 18,331.06 and 5,470.09

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Solution

The fourth proportional to 12,232.71, 18,331.06 and 5,470.09 is: 8,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.71 : 18,331.06 = 5,470.09 : x
  2. Step 2: Convert to fraction form
    12,232.71/18,331.06 = 5,470.09/x
  3. Step 3: Cross multiply
    12,232.71x = 18,331.06 × 5,470.09
  4. Step 4: Simplify right side
    12,232.71x = 100,272,548.00
  5. Step 5: Solve for x
    x = 100,272,548.00/12,232.71
  6. Step 6: Final answer
    x = 8,197.08

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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.