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Finding the Fourth Proportional to 16,219.19, 24,332.76 and 6,854.18

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Solution

The fourth proportional to 16,219.19, 24,332.76 and 6,854.18 is: 10,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.19 : 24,332.76 = 6,854.18 : x
  2. Step 2: Convert to fraction form
    16,219.19/24,332.76 = 6,854.18/x
  3. Step 3: Cross multiply
    16,219.19x = 24,332.76 × 6,854.18
  4. Step 4: Simplify right side
    16,219.19x = 166,780,995.27
  5. Step 5: Solve for x
    x = 166,780,995.27/16,219.19
  6. Step 6: Final answer
    x = 10,282.95

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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.