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Finding the Fourth Proportional to 13,109.68, 19,666.92 and 4,344.64

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Solution

The fourth proportional to 13,109.68, 19,666.92 and 4,344.64 is: 6,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.68 : 19,666.92 = 4,344.64 : x
  2. Step 2: Convert to fraction form
    13,109.68/19,666.92 = 4,344.64/x
  3. Step 3: Cross multiply
    13,109.68x = 19,666.92 × 4,344.64
  4. Step 4: Simplify right side
    13,109.68x = 85,445,687.31
  5. Step 5: Solve for x
    x = 85,445,687.31/13,109.68
  6. Step 6: Final answer
    x = 6,517.76

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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.