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Finding the Fourth Proportional to 16,278.57, 22,467.78 and 15,170.49

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Solution

The fourth proportional to 16,278.57, 22,467.78 and 15,170.49 is: 20,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.57 : 22,467.78 = 15,170.49 : x
  2. Step 2: Convert to fraction form
    16,278.57/22,467.78 = 15,170.49/x
  3. Step 3: Cross multiply
    16,278.57x = 22,467.78 × 15,170.49
  4. Step 4: Simplify right side
    16,278.57x = 340,847,231.81
  5. Step 5: Solve for x
    x = 340,847,231.81/16,278.57
  6. Step 6: Final answer
    x = 20,938.40

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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.