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Finding the Fourth Proportional to 22,257.92, 30,715.52 and 12,826.88

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Solution

The fourth proportional to 22,257.92, 30,715.52 and 12,826.88 is: 17,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.92 : 30,715.52 = 12,826.88 : x
  2. Step 2: Convert to fraction form
    22,257.92/30,715.52 = 12,826.88/x
  3. Step 3: Cross multiply
    22,257.92x = 30,715.52 × 12,826.88
  4. Step 4: Simplify right side
    22,257.92x = 393,984,289.18
  5. Step 5: Solve for x
    x = 393,984,289.18/22,257.92
  6. Step 6: Final answer
    x = 17,700.86

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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.