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Finding the Fourth Proportional to 14,512.80, 21,752.19 and 6,705.21

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Solution

The fourth proportional to 14,512.80, 21,752.19 and 6,705.21 is: 10,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.80 : 21,752.19 = 6,705.21 : x
  2. Step 2: Convert to fraction form
    14,512.80/21,752.19 = 6,705.21/x
  3. Step 3: Cross multiply
    14,512.80x = 21,752.19 × 6,705.21
  4. Step 4: Simplify right side
    14,512.80x = 145,853,001.91
  5. Step 5: Solve for x
    x = 145,853,001.91/14,512.80
  6. Step 6: Final answer
    x = 10,049.96

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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.