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Finding the Fourth Proportional to 16,770.72, 23,142.96 and 9,319.20

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Solution

The fourth proportional to 16,770.72, 23,142.96 and 9,319.20 is: 12,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.72 : 23,142.96 = 9,319.20 : x
  2. Step 2: Convert to fraction form
    16,770.72/23,142.96 = 9,319.20/x
  3. Step 3: Cross multiply
    16,770.72x = 23,142.96 × 9,319.20
  4. Step 4: Simplify right side
    16,770.72x = 215,673,872.83
  5. Step 5: Solve for x
    x = 215,673,872.83/16,770.72
  6. Step 6: Final answer
    x = 12,860.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.