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Finding the Fourth Proportional to 13,711.60, 18,922.13 and 8,046.43

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Solution

The fourth proportional to 13,711.60, 18,922.13 and 8,046.43 is: 11,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.60 : 18,922.13 = 8,046.43 : x
  2. Step 2: Convert to fraction form
    13,711.60/18,922.13 = 8,046.43/x
  3. Step 3: Cross multiply
    13,711.60x = 18,922.13 × 8,046.43
  4. Step 4: Simplify right side
    13,711.60x = 152,255,594.50
  5. Step 5: Solve for x
    x = 152,255,594.50/13,711.60
  6. Step 6: Final answer
    x = 11,104.14

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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.