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Finding the Fourth Proportional to 13,652.85, 20,487.25 and 5,754.89

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Solution

The fourth proportional to 13,652.85, 20,487.25 and 5,754.89 is: 8,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.85 : 20,487.25 = 5,754.89 : x
  2. Step 2: Convert to fraction form
    13,652.85/20,487.25 = 5,754.89/x
  3. Step 3: Cross multiply
    13,652.85x = 20,487.25 × 5,754.89
  4. Step 4: Simplify right side
    13,652.85x = 117,901,780.95
  5. Step 5: Solve for x
    x = 117,901,780.95/13,652.85
  6. Step 6: Final answer
    x = 8,635.69

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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.