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Finding the Fourth Proportional to 14,432.70, 21,652.20 and 8,195.70

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Solution

The fourth proportional to 14,432.70, 21,652.20 and 8,195.70 is: 12,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.70 : 21,652.20 = 8,195.70 : x
  2. Step 2: Convert to fraction form
    14,432.70/21,652.20 = 8,195.70/x
  3. Step 3: Cross multiply
    14,432.70x = 21,652.20 × 8,195.70
  4. Step 4: Simplify right side
    14,432.70x = 177,454,935.54
  5. Step 5: Solve for x
    x = 177,454,935.54/14,432.70
  6. Step 6: Final answer
    x = 12,295.34

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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.