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Finding the Fourth Proportional to 22,818.90, 34,228.08 and 8,027.76

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Solution

The fourth proportional to 22,818.90, 34,228.08 and 8,027.76 is: 12,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.90 : 34,228.08 = 8,027.76 : x
  2. Step 2: Convert to fraction form
    22,818.90/34,228.08 = 8,027.76/x
  3. Step 3: Cross multiply
    22,818.90x = 34,228.08 × 8,027.76
  4. Step 4: Simplify right side
    22,818.90x = 274,774,811.50
  5. Step 5: Solve for x
    x = 274,774,811.50/22,818.90
  6. Step 6: Final answer
    x = 12,041.55

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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.