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Finding the Fourth Proportional to 12,141.66, 16,754.33 and 8,956.69

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Solution

The fourth proportional to 12,141.66, 16,754.33 and 8,956.69 is: 12,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.66 : 16,754.33 = 8,956.69 : x
  2. Step 2: Convert to fraction form
    12,141.66/16,754.33 = 8,956.69/x
  3. Step 3: Cross multiply
    12,141.66x = 16,754.33 × 8,956.69
  4. Step 4: Simplify right side
    12,141.66x = 150,063,339.97
  5. Step 5: Solve for x
    x = 150,063,339.97/12,141.66
  6. Step 6: Final answer
    x = 12,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.