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Finding the Fourth Proportional to 13,549.38, 20,323.45 and 5,648.64

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Solution

The fourth proportional to 13,549.38, 20,323.45 and 5,648.64 is: 8,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.38 : 20,323.45 = 5,648.64 : x
  2. Step 2: Convert to fraction form
    13,549.38/20,323.45 = 5,648.64/x
  3. Step 3: Cross multiply
    13,549.38x = 20,323.45 × 5,648.64
  4. Step 4: Simplify right side
    13,549.38x = 114,799,852.61
  5. Step 5: Solve for x
    x = 114,799,852.61/13,549.38
  6. Step 6: Final answer
    x = 8,472.70

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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.