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Finding the Fourth Proportional to 15,851.70, 21,874.05 and 8,777.97

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Solution

The fourth proportional to 15,851.70, 21,874.05 and 8,777.97 is: 12,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.70 : 21,874.05 = 8,777.97 : x
  2. Step 2: Convert to fraction form
    15,851.70/21,874.05 = 8,777.97/x
  3. Step 3: Cross multiply
    15,851.70x = 21,874.05 × 8,777.97
  4. Step 4: Simplify right side
    15,851.70x = 192,009,754.68
  5. Step 5: Solve for x
    x = 192,009,754.68/15,851.70
  6. Step 6: Final answer
    x = 12,112.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.