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Finding the Fourth Proportional to 13,031.38, 17,998.15 and 8,832.34

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Solution

The fourth proportional to 13,031.38, 17,998.15 and 8,832.34 is: 12,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.38 : 17,998.15 = 8,832.34 : x
  2. Step 2: Convert to fraction form
    13,031.38/17,998.15 = 8,832.34/x
  3. Step 3: Cross multiply
    13,031.38x = 17,998.15 × 8,832.34
  4. Step 4: Simplify right side
    13,031.38x = 158,965,780.17
  5. Step 5: Solve for x
    x = 158,965,780.17/13,031.38
  6. Step 6: Final answer
    x = 12,198.69

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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.