Home / 16,278.52-22,464.80-9,206

Finding the Fourth Proportional to 16,278.52, 22,464.80 and 9,206

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Solution

The fourth proportional to 16,278.52, 22,464.80 and 9,206 is: 12,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.52 : 22,464.80 = 9,206 : x
  2. Step 2: Convert to fraction form
    16,278.52/22,464.80 = 9,206/x
  3. Step 3: Cross multiply
    16,278.52x = 22,464.80 × 9,206
  4. Step 4: Simplify right side
    16,278.52x = 206,810,948.80
  5. Step 5: Solve for x
    x = 206,810,948.80/16,278.52
  6. Step 6: Final answer
    x = 12,704.53

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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.