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Finding the Fourth Proportional to 13,544.01, 20,308.14 and 5,639.85

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Solution

The fourth proportional to 13,544.01, 20,308.14 and 5,639.85 is: 8,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.01 : 20,308.14 = 5,639.85 : x
  2. Step 2: Convert to fraction form
    13,544.01/20,308.14 = 5,639.85/x
  3. Step 3: Cross multiply
    13,544.01x = 20,308.14 × 5,639.85
  4. Step 4: Simplify right side
    13,544.01x = 114,534,863.38
  5. Step 5: Solve for x
    x = 114,534,863.38/13,544.01
  6. Step 6: Final answer
    x = 8,456.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.