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Finding the Fourth Proportional to 13,677.69, 20,516.54 and 10,562.24

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Solution

The fourth proportional to 13,677.69, 20,516.54 and 10,562.24 is: 15,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.69 : 20,516.54 = 10,562.24 : x
  2. Step 2: Convert to fraction form
    13,677.69/20,516.54 = 10,562.24/x
  3. Step 3: Cross multiply
    13,677.69x = 20,516.54 × 10,562.24
  4. Step 4: Simplify right side
    13,677.69x = 216,700,677.34
  5. Step 5: Solve for x
    x = 216,700,677.34/13,677.69
  6. Step 6: Final answer
    x = 15,843.36

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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.