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Finding the Fourth Proportional to 12,355.20, 18,534 and 3,589.92

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Solution

The fourth proportional to 12,355.20, 18,534 and 3,589.92 is: 5,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.20 : 18,534 = 3,589.92 : x
  2. Step 2: Convert to fraction form
    12,355.20/18,534 = 3,589.92/x
  3. Step 3: Cross multiply
    12,355.20x = 18,534 × 3,589.92
  4. Step 4: Simplify right side
    12,355.20x = 66,535,577.28
  5. Step 5: Solve for x
    x = 66,535,577.28/12,355.20
  6. Step 6: Final answer
    x = 5,385.23

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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.