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Finding the Fourth Proportional to 17,991.50, 26,987.02 and 8,123.88

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Solution

The fourth proportional to 17,991.50, 26,987.02 and 8,123.88 is: 12,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,991.50 : 26,987.02 = 8,123.88 : x
  2. Step 2: Convert to fraction form
    17,991.50/26,987.02 = 8,123.88/x
  3. Step 3: Cross multiply
    17,991.50x = 26,987.02 × 8,123.88
  4. Step 4: Simplify right side
    17,991.50x = 219,239,312.04
  5. Step 5: Solve for x
    x = 219,239,312.04/17,991.50
  6. Step 6: Final answer
    x = 12,185.72

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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.