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Finding the Fourth Proportional to 15,091.38, 20,823.89 and 8,377.06

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Solution

The fourth proportional to 15,091.38, 20,823.89 and 8,377.06 is: 11,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.38 : 20,823.89 = 8,377.06 : x
  2. Step 2: Convert to fraction form
    15,091.38/20,823.89 = 8,377.06/x
  3. Step 3: Cross multiply
    15,091.38x = 20,823.89 × 8,377.06
  4. Step 4: Simplify right side
    15,091.38x = 174,442,882.02
  5. Step 5: Solve for x
    x = 174,442,882.02/15,091.38
  6. Step 6: Final answer
    x = 11,559.11

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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.