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Finding the Fourth Proportional to 22,671.50, 34,010.89 and 7,884.61

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Solution

The fourth proportional to 22,671.50, 34,010.89 and 7,884.61 is: 11,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.50 : 34,010.89 = 7,884.61 : x
  2. Step 2: Convert to fraction form
    22,671.50/34,010.89 = 7,884.61/x
  3. Step 3: Cross multiply
    22,671.50x = 34,010.89 × 7,884.61
  4. Step 4: Simplify right side
    22,671.50x = 268,162,498.66
  5. Step 5: Solve for x
    x = 268,162,498.66/22,671.50
  6. Step 6: Final answer
    x = 11,828.18

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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.