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Finding the Fourth Proportional to 13,665.27, 20,497.92 and 10,549.83

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Solution

The fourth proportional to 13,665.27, 20,497.92 and 10,549.83 is: 15,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.27 : 20,497.92 = 10,549.83 : x
  2. Step 2: Convert to fraction form
    13,665.27/20,497.92 = 10,549.83/x
  3. Step 3: Cross multiply
    13,665.27x = 20,497.92 × 10,549.83
  4. Step 4: Simplify right side
    13,665.27x = 216,249,608.66
  5. Step 5: Solve for x
    x = 216,249,608.66/13,665.27
  6. Step 6: Final answer
    x = 15,824.75

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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.