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Finding the Fourth Proportional to 16,197.20, 24,306.60 and 7,427.60

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Solution

The fourth proportional to 16,197.20, 24,306.60 and 7,427.60 is: 11,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.20 : 24,306.60 = 7,427.60 : x
  2. Step 2: Convert to fraction form
    16,197.20/24,306.60 = 7,427.60/x
  3. Step 3: Cross multiply
    16,197.20x = 24,306.60 × 7,427.60
  4. Step 4: Simplify right side
    16,197.20x = 180,539,702.16
  5. Step 5: Solve for x
    x = 180,539,702.16/16,197.20
  6. Step 6: Final answer
    x = 11,146.35

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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.