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Finding the Fourth Proportional to 15,876, 21,909.49 and 8,802.27

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Solution

The fourth proportional to 15,876, 21,909.49 and 8,802.27 is: 12,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 21,909.49 = 8,802.27 : x
  2. Step 2: Convert to fraction form
    15,876/21,909.49 = 8,802.27/x
  3. Step 3: Cross multiply
    15,876x = 21,909.49 × 8,802.27
  4. Step 4: Simplify right side
    15,876x = 192,853,224.54
  5. Step 5: Solve for x
    x = 192,853,224.54/15,876
  6. Step 6: Final answer
    x = 12,147.47

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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.