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Finding the Fourth Proportional to 22,321.44, 33,478.52 and 8,278.18

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Solution

The fourth proportional to 22,321.44, 33,478.52 and 8,278.18 is: 12,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.44 : 33,478.52 = 8,278.18 : x
  2. Step 2: Convert to fraction form
    22,321.44/33,478.52 = 8,278.18/x
  3. Step 3: Cross multiply
    22,321.44x = 33,478.52 × 8,278.18
  4. Step 4: Simplify right side
    22,321.44x = 277,141,089.61
  5. Step 5: Solve for x
    x = 277,141,089.61/22,321.44
  6. Step 6: Final answer
    x = 12,415.91

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1.5x scale

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.