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Finding the Fourth Proportional to 27,876.88, 41,815.86 and 9,157.96

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Solution

The fourth proportional to 27,876.88, 41,815.86 and 9,157.96 is: 13,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.88 : 41,815.86 = 9,157.96 : x
  2. Step 2: Convert to fraction form
    27,876.88/41,815.86 = 9,157.96/x
  3. Step 3: Cross multiply
    27,876.88x = 41,815.86 × 9,157.96
  4. Step 4: Simplify right side
    27,876.88x = 382,947,973.25
  5. Step 5: Solve for x
    x = 382,947,973.25/27,876.88
  6. Step 6: Final answer
    x = 13,737.12

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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.