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Finding the Fourth Proportional to 16,149.16, 24,219.42 and 6,913

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Solution

The fourth proportional to 16,149.16, 24,219.42 and 6,913 is: 10,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.16 : 24,219.42 = 6,913 : x
  2. Step 2: Convert to fraction form
    16,149.16/24,219.42 = 6,913/x
  3. Step 3: Cross multiply
    16,149.16x = 24,219.42 × 6,913
  4. Step 4: Simplify right side
    16,149.16x = 167,428,850.46
  5. Step 5: Solve for x
    x = 167,428,850.46/16,149.16
  6. Step 6: Final answer
    x = 10,367.65

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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.