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Finding the Fourth Proportional to 13,657.52, 20,486.69 and 5,337.20

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Solution

The fourth proportional to 13,657.52, 20,486.69 and 5,337.20 is: 8,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.52 : 20,486.69 = 5,337.20 : x
  2. Step 2: Convert to fraction form
    13,657.52/20,486.69 = 5,337.20/x
  3. Step 3: Cross multiply
    13,657.52x = 20,486.69 × 5,337.20
  4. Step 4: Simplify right side
    13,657.52x = 109,341,561.87
  5. Step 5: Solve for x
    x = 109,341,561.87/13,657.52
  6. Step 6: Final answer
    x = 8,005.96

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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.