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Finding the Fourth Proportional to 12,723.60, 17,555.76 and 8,006.16

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Solution

The fourth proportional to 12,723.60, 17,555.76 and 8,006.16 is: 11,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.60 : 17,555.76 = 8,006.16 : x
  2. Step 2: Convert to fraction form
    12,723.60/17,555.76 = 8,006.16/x
  3. Step 3: Cross multiply
    12,723.60x = 17,555.76 × 8,006.16
  4. Step 4: Simplify right side
    12,723.60x = 140,554,223.48
  5. Step 5: Solve for x
    x = 140,554,223.48/12,723.60
  6. Step 6: Final answer
    x = 11,046.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.