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Finding the Fourth Proportional to 16,503, 22,775.22 and 9,051

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Solution

The fourth proportional to 16,503, 22,775.22 and 9,051 is: 12,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503 : 22,775.22 = 9,051 : x
  2. Step 2: Convert to fraction form
    16,503/22,775.22 = 9,051/x
  3. Step 3: Cross multiply
    16,503x = 22,775.22 × 9,051
  4. Step 4: Simplify right side
    16,503x = 206,138,516.22
  5. Step 5: Solve for x
    x = 206,138,516.22/16,503
  6. Step 6: Final answer
    x = 12,490.97

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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.