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Finding the Fourth Proportional to 13,666.80, 20,500.56 and 5,346.48

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Solution

The fourth proportional to 13,666.80, 20,500.56 and 5,346.48 is: 8,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.80 : 20,500.56 = 5,346.48 : x
  2. Step 2: Convert to fraction form
    13,666.80/20,500.56 = 5,346.48/x
  3. Step 3: Cross multiply
    13,666.80x = 20,500.56 × 5,346.48
  4. Step 4: Simplify right side
    13,666.80x = 109,605,834.03
  5. Step 5: Solve for x
    x = 109,605,834.03/13,666.80
  6. Step 6: Final answer
    x = 8,019.86

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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.