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Finding the Fourth Proportional to 22,818.11, 34,242.48 and 8,027.10

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Solution

The fourth proportional to 22,818.11, 34,242.48 and 8,027.10 is: 12,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.11 : 34,242.48 = 8,027.10 : x
  2. Step 2: Convert to fraction form
    22,818.11/34,242.48 = 8,027.10/x
  3. Step 3: Cross multiply
    22,818.11x = 34,242.48 × 8,027.10
  4. Step 4: Simplify right side
    22,818.11x = 274,867,811.21
  5. Step 5: Solve for x
    x = 274,867,811.21/22,818.11
  6. Step 6: Final answer
    x = 12,046.04

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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.