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Finding the Fourth Proportional to 15,122, 22,677.10 and 8,883.61

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Solution

The fourth proportional to 15,122, 22,677.10 and 8,883.61 is: 13,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122 : 22,677.10 = 8,883.61 : x
  2. Step 2: Convert to fraction form
    15,122/22,677.10 = 8,883.61/x
  3. Step 3: Cross multiply
    15,122x = 22,677.10 × 8,883.61
  4. Step 4: Simplify right side
    15,122x = 201,454,512.33
  5. Step 5: Solve for x
    x = 201,454,512.33/15,122
  6. Step 6: Final answer
    x = 13,321.95

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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.