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Finding the Fourth Proportional to 16,219.79, 24,332.19 and 6,859.84

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Solution

The fourth proportional to 16,219.79, 24,332.19 and 6,859.84 is: 10,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.79 : 24,332.19 = 6,859.84 : x
  2. Step 2: Convert to fraction form
    16,219.79/24,332.19 = 6,859.84/x
  3. Step 3: Cross multiply
    16,219.79x = 24,332.19 × 6,859.84
  4. Step 4: Simplify right side
    16,219.79x = 166,914,930.25
  5. Step 5: Solve for x
    x = 166,914,930.25/16,219.79
  6. Step 6: Final answer
    x = 10,290.82

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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.