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Finding the Fourth Proportional to 13,442.40, 20,177.22 and 5,549.64

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Solution

The fourth proportional to 13,442.40, 20,177.22 and 5,549.64 is: 8,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.40 : 20,177.22 = 5,549.64 : x
  2. Step 2: Convert to fraction form
    13,442.40/20,177.22 = 5,549.64/x
  3. Step 3: Cross multiply
    13,442.40x = 20,177.22 × 5,549.64
  4. Step 4: Simplify right side
    13,442.40x = 111,976,307.20
  5. Step 5: Solve for x
    x = 111,976,307.20/13,442.40
  6. Step 6: Final answer
    x = 8,330.08

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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.