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Finding the Fourth Proportional to 15,772.20, 21,765.78 and 8,698.44

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Solution

The fourth proportional to 15,772.20, 21,765.78 and 8,698.44 is: 12,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.20 : 21,765.78 = 8,698.44 : x
  2. Step 2: Convert to fraction form
    15,772.20/21,765.78 = 8,698.44/x
  3. Step 3: Cross multiply
    15,772.20x = 21,765.78 × 8,698.44
  4. Step 4: Simplify right side
    15,772.20x = 189,328,331.38
  5. Step 5: Solve for x
    x = 189,328,331.38/15,772.20
  6. Step 6: Final answer
    x = 12,003.93

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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.