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Finding the Fourth Proportional to 13,705.68, 20,568 and 5,385.64

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Solution

The fourth proportional to 13,705.68, 20,568 and 5,385.64 is: 8,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.68 : 20,568 = 5,385.64 : x
  2. Step 2: Convert to fraction form
    13,705.68/20,568 = 5,385.64/x
  3. Step 3: Cross multiply
    13,705.68x = 20,568 × 5,385.64
  4. Step 4: Simplify right side
    13,705.68x = 110,771,843.52
  5. Step 5: Solve for x
    x = 110,771,843.52/13,705.68
  6. Step 6: Final answer
    x = 8,082.19

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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.