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Finding the Fourth Proportional to 16,084.50, 24,139.71 and 8,295.54

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Solution

The fourth proportional to 16,084.50, 24,139.71 and 8,295.54 is: 12,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.50 : 24,139.71 = 8,295.54 : x
  2. Step 2: Convert to fraction form
    16,084.50/24,139.71 = 8,295.54/x
  3. Step 3: Cross multiply
    16,084.50x = 24,139.71 × 8,295.54
  4. Step 4: Simplify right side
    16,084.50x = 200,251,929.89
  5. Step 5: Solve for x
    x = 200,251,929.89/16,084.50
  6. Step 6: Final answer
    x = 12,449.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.