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Finding the Fourth Proportional to 15,076.40, 20,805.71 and 8,269.98

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Solution

The fourth proportional to 15,076.40, 20,805.71 and 8,269.98 is: 11,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.40 : 20,805.71 = 8,269.98 : x
  2. Step 2: Convert to fraction form
    15,076.40/20,805.71 = 8,269.98/x
  3. Step 3: Cross multiply
    15,076.40x = 20,805.71 × 8,269.98
  4. Step 4: Simplify right side
    15,076.40x = 172,062,764.24
  5. Step 5: Solve for x
    x = 172,062,764.24/15,076.40
  6. Step 6: Final answer
    x = 11,412.73

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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.