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Finding the Fourth Proportional to 13,569.87, 20,355 and 4,209.78

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Solution

The fourth proportional to 13,569.87, 20,355 and 4,209.78 is: 6,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.87 : 20,355 = 4,209.78 : x
  2. Step 2: Convert to fraction form
    13,569.87/20,355 = 4,209.78/x
  3. Step 3: Cross multiply
    13,569.87x = 20,355 × 4,209.78
  4. Step 4: Simplify right side
    13,569.87x = 85,690,071.90
  5. Step 5: Solve for x
    x = 85,690,071.90/13,569.87
  6. Step 6: Final answer
    x = 6,314.73

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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.