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Finding the Fourth Proportional to 13,444.92, 20,148.89 and 6,857.24

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Solution

The fourth proportional to 13,444.92, 20,148.89 and 6,857.24 is: 10,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.92 : 20,148.89 = 6,857.24 : x
  2. Step 2: Convert to fraction form
    13,444.92/20,148.89 = 6,857.24/x
  3. Step 3: Cross multiply
    13,444.92x = 20,148.89 × 6,857.24
  4. Step 4: Simplify right side
    13,444.92x = 138,165,639.43
  5. Step 5: Solve for x
    x = 138,165,639.43/13,444.92
  6. Step 6: Final answer
    x = 10,276.42

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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.