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Finding the Fourth Proportional to 22,810.34, 34,211.78 and 8,015.79

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Solution

The fourth proportional to 22,810.34, 34,211.78 and 8,015.79 is: 12,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.34 : 34,211.78 = 8,015.79 : x
  2. Step 2: Convert to fraction form
    22,810.34/34,211.78 = 8,015.79/x
  3. Step 3: Cross multiply
    22,810.34x = 34,211.78 × 8,015.79
  4. Step 4: Simplify right side
    22,810.34x = 274,234,403.93
  5. Step 5: Solve for x
    x = 274,234,403.93/22,810.34
  6. Step 6: Final answer
    x = 12,022.38

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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.