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Finding the Fourth Proportional to 13,652.97, 20,475.76 and 5,859.96

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Solution

The fourth proportional to 13,652.97, 20,475.76 and 5,859.96 is: 8,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.97 : 20,475.76 = 5,859.96 : x
  2. Step 2: Convert to fraction form
    13,652.97/20,475.76 = 5,859.96/x
  3. Step 3: Cross multiply
    13,652.97x = 20,475.76 × 5,859.96
  4. Step 4: Simplify right side
    13,652.97x = 119,987,134.57
  5. Step 5: Solve for x
    x = 119,987,134.57/13,652.97
  6. Step 6: Final answer
    x = 8,788.35

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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.