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Finding the Fourth Proportional to 12,165.80, 18,244.85 and 6,319.22

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Solution

The fourth proportional to 12,165.80, 18,244.85 and 6,319.22 is: 9,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.80 : 18,244.85 = 6,319.22 : x
  2. Step 2: Convert to fraction form
    12,165.80/18,244.85 = 6,319.22/x
  3. Step 3: Cross multiply
    12,165.80x = 18,244.85 × 6,319.22
  4. Step 4: Simplify right side
    12,165.80x = 115,293,098.20
  5. Step 5: Solve for x
    x = 115,293,098.20/12,165.80
  6. Step 6: Final answer
    x = 9,476.82

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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.