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Finding the Fourth Proportional to 16,309.79, 24,456.97 and 6,319.21

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Solution

The fourth proportional to 16,309.79, 24,456.97 and 6,319.21 is: 9,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.79 : 24,456.97 = 6,319.21 : x
  2. Step 2: Convert to fraction form
    16,309.79/24,456.97 = 6,319.21/x
  3. Step 3: Cross multiply
    16,309.79x = 24,456.97 × 6,319.21
  4. Step 4: Simplify right side
    16,309.79x = 154,548,767.86
  5. Step 5: Solve for x
    x = 154,548,767.86/16,309.79
  6. Step 6: Final answer
    x = 9,475.83

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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.