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Finding the Fourth Proportional to 13,657.14, 20,475.99 and 8,097.30

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Solution

The fourth proportional to 13,657.14, 20,475.99 and 8,097.30 is: 12,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.14 : 20,475.99 = 8,097.30 : x
  2. Step 2: Convert to fraction form
    13,657.14/20,475.99 = 8,097.30/x
  3. Step 3: Cross multiply
    13,657.14x = 20,475.99 × 8,097.30
  4. Step 4: Simplify right side
    13,657.14x = 165,800,233.83
  5. Step 5: Solve for x
    x = 165,800,233.83/13,657.14
  6. Step 6: Final answer
    x = 12,140.19

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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.