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Finding the Fourth Proportional to 16,102.80, 24,153.19 and 5,008.64

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Solution

The fourth proportional to 16,102.80, 24,153.19 and 5,008.64 is: 7,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.80 : 24,153.19 = 5,008.64 : x
  2. Step 2: Convert to fraction form
    16,102.80/24,153.19 = 5,008.64/x
  3. Step 3: Cross multiply
    16,102.80x = 24,153.19 × 5,008.64
  4. Step 4: Simplify right side
    16,102.80x = 120,974,500.27
  5. Step 5: Solve for x
    x = 120,974,500.27/16,102.80
  6. Step 6: Final answer
    x = 7,512.64

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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.