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Finding the Fourth Proportional to 16,144.30, 22,286.70 and 10,775.70

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Solution

The fourth proportional to 16,144.30, 22,286.70 and 10,775.70 is: 14,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.30 : 22,286.70 = 10,775.70 : x
  2. Step 2: Convert to fraction form
    16,144.30/22,286.70 = 10,775.70/x
  3. Step 3: Cross multiply
    16,144.30x = 22,286.70 × 10,775.70
  4. Step 4: Simplify right side
    16,144.30x = 240,154,793.19
  5. Step 5: Solve for x
    x = 240,154,793.19/16,144.30
  6. Step 6: Final answer
    x = 14,875.52

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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.