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Finding the Fourth Proportional to 13,115.96, 18,100.92 and 8,013.66

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Solution

The fourth proportional to 13,115.96, 18,100.92 and 8,013.66 is: 11,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.96 : 18,100.92 = 8,013.66 : x
  2. Step 2: Convert to fraction form
    13,115.96/18,100.92 = 8,013.66/x
  3. Step 3: Cross multiply
    13,115.96x = 18,100.92 × 8,013.66
  4. Step 4: Simplify right side
    13,115.96x = 145,054,618.57
  5. Step 5: Solve for x
    x = 145,054,618.57/13,115.96
  6. Step 6: Final answer
    x = 11,059.40

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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.