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Finding the Fourth Proportional to 16,869.97, 25,302.05 and 6,193.99

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Solution

The fourth proportional to 16,869.97, 25,302.05 and 6,193.99 is: 9,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869.97 : 25,302.05 = 6,193.99 : x
  2. Step 2: Convert to fraction form
    16,869.97/25,302.05 = 6,193.99/x
  3. Step 3: Cross multiply
    16,869.97x = 25,302.05 × 6,193.99
  4. Step 4: Simplify right side
    16,869.97x = 156,720,761.50
  5. Step 5: Solve for x
    x = 156,720,761.50/16,869.97
  6. Step 6: Final answer
    x = 9,289.92

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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.