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Finding the Fourth Proportional to 13,711.59, 20,567.19 and 3,323.43

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Solution

The fourth proportional to 13,711.59, 20,567.19 and 3,323.43 is: 4,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.59 : 20,567.19 = 3,323.43 : x
  2. Step 2: Convert to fraction form
    13,711.59/20,567.19 = 3,323.43/x
  3. Step 3: Cross multiply
    13,711.59x = 20,567.19 × 3,323.43
  4. Step 4: Simplify right side
    13,711.59x = 68,353,616.26
  5. Step 5: Solve for x
    x = 68,353,616.26/13,711.59
  6. Step 6: Final answer
    x = 4,985.10

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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.