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Finding the Fourth Proportional to 16,989.47, 25,472.95 and 8,106.17

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Solution

The fourth proportional to 16,989.47, 25,472.95 and 8,106.17 is: 12,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989.47 : 25,472.95 = 8,106.17 : x
  2. Step 2: Convert to fraction form
    16,989.47/25,472.95 = 8,106.17/x
  3. Step 3: Cross multiply
    16,989.47x = 25,472.95 × 8,106.17
  4. Step 4: Simplify right side
    16,989.47x = 206,488,063.10
  5. Step 5: Solve for x
    x = 206,488,063.10/16,989.47
  6. Step 6: Final answer
    x = 12,153.88

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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.