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Finding the Fourth Proportional to 10,677.88, 15,996.77 and 9,872.33

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Solution

The fourth proportional to 10,677.88, 15,996.77 and 9,872.33 is: 14,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.88 : 15,996.77 = 9,872.33 : x
  2. Step 2: Convert to fraction form
    10,677.88/15,996.77 = 9,872.33/x
  3. Step 3: Cross multiply
    10,677.88x = 15,996.77 × 9,872.33
  4. Step 4: Simplify right side
    10,677.88x = 157,925,343.01
  5. Step 5: Solve for x
    x = 157,925,343.01/10,677.88
  6. Step 6: Final answer
    x = 14,789.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.