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Finding the Fourth Proportional to 16,114.14, 24,160.28 and 8,197.20

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Solution

The fourth proportional to 16,114.14, 24,160.28 and 8,197.20 is: 12,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.14 : 24,160.28 = 8,197.20 : x
  2. Step 2: Convert to fraction form
    16,114.14/24,160.28 = 8,197.20/x
  3. Step 3: Cross multiply
    16,114.14x = 24,160.28 × 8,197.20
  4. Step 4: Simplify right side
    16,114.14x = 198,046,606.23
  5. Step 5: Solve for x
    x = 198,046,606.23/16,114.14
  6. Step 6: Final answer
    x = 12,290.24

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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.