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Finding the Fourth Proportional to 16,270, 22,452.74 and 8,818

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Solution

The fourth proportional to 16,270, 22,452.74 and 8,818 is: 12,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270 : 22,452.74 = 8,818 : x
  2. Step 2: Convert to fraction form
    16,270/22,452.74 = 8,818/x
  3. Step 3: Cross multiply
    16,270x = 22,452.74 × 8,818
  4. Step 4: Simplify right side
    16,270x = 197,988,217.23
  5. Step 5: Solve for x
    x = 197,988,217.23/16,270
  6. Step 6: Final answer
    x = 12,168.91

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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.