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Finding the Fourth Proportional to 13,712.98, 20,540.76 and 8,757.40

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Solution

The fourth proportional to 13,712.98, 20,540.76 and 8,757.40 is: 13,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.98 : 20,540.76 = 8,757.40 : x
  2. Step 2: Convert to fraction form
    13,712.98/20,540.76 = 8,757.40/x
  3. Step 3: Cross multiply
    13,712.98x = 20,540.76 × 8,757.40
  4. Step 4: Simplify right side
    13,712.98x = 179,883,600.27
  5. Step 5: Solve for x
    x = 179,883,600.27/13,712.98
  6. Step 6: Final answer
    x = 13,117.76

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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.