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Finding the Fourth Proportional to 13,711.38, 20,567.00 and 3,323.13

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Solution

The fourth proportional to 13,711.38, 20,567.00 and 3,323.13 is: 4,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.38 : 20,567.00 = 3,323.13 : x
  2. Step 2: Convert to fraction form
    13,711.38/20,567.00 = 3,323.13/x
  3. Step 3: Cross multiply
    13,711.38x = 20,567.00 × 3,323.13
  4. Step 4: Simplify right side
    13,711.38x = 68,346,823.02
  5. Step 5: Solve for x
    x = 68,346,823.02/13,711.38
  6. Step 6: Final answer
    x = 4,984.68

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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.