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Finding the Fourth Proportional to 22,310.24, 33,470.06 and 8,270.40

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Solution

The fourth proportional to 22,310.24, 33,470.06 and 8,270.40 is: 12,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.24 : 33,470.06 = 8,270.40 : x
  2. Step 2: Convert to fraction form
    22,310.24/33,470.06 = 8,270.40/x
  3. Step 3: Cross multiply
    22,310.24x = 33,470.06 × 8,270.40
  4. Step 4: Simplify right side
    22,310.24x = 276,810,914.91
  5. Step 5: Solve for x
    x = 276,810,914.91/22,310.24
  6. Step 6: Final answer
    x = 12,407.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.