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Finding the Fourth Proportional to 15,851.90, 21,876.48 and 8,778.38

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Solution

The fourth proportional to 15,851.90, 21,876.48 and 8,778.38 is: 12,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.90 : 21,876.48 = 8,778.38 : x
  2. Step 2: Convert to fraction form
    15,851.90/21,876.48 = 8,778.38/x
  3. Step 3: Cross multiply
    15,851.90x = 21,876.48 × 8,778.38
  4. Step 4: Simplify right side
    15,851.90x = 192,039,945.12
  5. Step 5: Solve for x
    x = 192,039,945.12/15,851.90
  6. Step 6: Final answer
    x = 12,114.63

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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.