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Finding the Fourth Proportional to 13,498.20, 20,248.92 and 5,706

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Solution

The fourth proportional to 13,498.20, 20,248.92 and 5,706 is: 8,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.20 : 20,248.92 = 5,706 : x
  2. Step 2: Convert to fraction form
    13,498.20/20,248.92 = 5,706/x
  3. Step 3: Cross multiply
    13,498.20x = 20,248.92 × 5,706
  4. Step 4: Simplify right side
    13,498.20x = 115,540,337.52
  5. Step 5: Solve for x
    x = 115,540,337.52/13,498.20
  6. Step 6: Final answer
    x = 8,559.68

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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.