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Finding the Fourth Proportional to 14,686.20, 22,013.10 and 8,449.20

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Solution

The fourth proportional to 14,686.20, 22,013.10 and 8,449.20 is: 12,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.20 : 22,013.10 = 8,449.20 : x
  2. Step 2: Convert to fraction form
    14,686.20/22,013.10 = 8,449.20/x
  3. Step 3: Cross multiply
    14,686.20x = 22,013.10 × 8,449.20
  4. Step 4: Simplify right side
    14,686.20x = 185,993,084.52
  5. Step 5: Solve for x
    x = 185,993,084.52/14,686.20
  6. Step 6: Final answer
    x = 12,664.48

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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.