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Finding the Fourth Proportional to 16,219.74, 24,332.10 and 6,859.77

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Solution

The fourth proportional to 16,219.74, 24,332.10 and 6,859.77 is: 10,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.74 : 24,332.10 = 6,859.77 : x
  2. Step 2: Convert to fraction form
    16,219.74/24,332.10 = 6,859.77/x
  3. Step 3: Cross multiply
    16,219.74x = 24,332.10 × 6,859.77
  4. Step 4: Simplify right side
    16,219.74x = 166,912,609.62
  5. Step 5: Solve for x
    x = 166,912,609.62/16,219.74
  6. Step 6: Final answer
    x = 10,290.71

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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.