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Finding the Fourth Proportional to 13,442.88, 20,162.04 and 3,583.20

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Solution

The fourth proportional to 13,442.88, 20,162.04 and 3,583.20 is: 5,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.88 : 20,162.04 = 3,583.20 : x
  2. Step 2: Convert to fraction form
    13,442.88/20,162.04 = 3,583.20/x
  3. Step 3: Cross multiply
    13,442.88x = 20,162.04 × 3,583.20
  4. Step 4: Simplify right side
    13,442.88x = 72,244,621.73
  5. Step 5: Solve for x
    x = 72,244,621.73/13,442.88
  6. Step 6: Final answer
    x = 5,374.19

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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.