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Finding the Fourth Proportional to 15,177.41, 22,765.29 and 5,821.91

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Solution

The fourth proportional to 15,177.41, 22,765.29 and 5,821.91 is: 8,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.41 : 22,765.29 = 5,821.91 : x
  2. Step 2: Convert to fraction form
    15,177.41/22,765.29 = 5,821.91/x
  3. Step 3: Cross multiply
    15,177.41x = 22,765.29 × 5,821.91
  4. Step 4: Simplify right side
    15,177.41x = 132,537,469.50
  5. Step 5: Solve for x
    x = 132,537,469.50/15,177.41
  6. Step 6: Final answer
    x = 8,732.55

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Why These Related Problems?

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