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Finding the Fourth Proportional to 12,861.40, 17,733.18 and 8,876.20

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Solution

The fourth proportional to 12,861.40, 17,733.18 and 8,876.20 is: 12,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.40 : 17,733.18 = 8,876.20 : x
  2. Step 2: Convert to fraction form
    12,861.40/17,733.18 = 8,876.20/x
  3. Step 3: Cross multiply
    12,861.40x = 17,733.18 × 8,876.20
  4. Step 4: Simplify right side
    12,861.40x = 157,403,252.32
  5. Step 5: Solve for x
    x = 157,403,252.32/12,861.40
  6. Step 6: Final answer
    x = 12,238.42

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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.