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Finding the Fourth Proportional to 16,512.76, 22,787.52 and 8,959.24

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Solution

The fourth proportional to 16,512.76, 22,787.52 and 8,959.24 is: 12,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.76 : 22,787.52 = 8,959.24 : x
  2. Step 2: Convert to fraction form
    16,512.76/22,787.52 = 8,959.24/x
  3. Step 3: Cross multiply
    16,512.76x = 22,787.52 × 8,959.24
  4. Step 4: Simplify right side
    16,512.76x = 204,158,860.68
  5. Step 5: Solve for x
    x = 204,158,860.68/16,512.76
  6. Step 6: Final answer
    x = 12,363.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.