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Finding the Fourth Proportional to 16,974, 23,425.92 and 9,522

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Solution

The fourth proportional to 16,974, 23,425.92 and 9,522 is: 13,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974 : 23,425.92 = 9,522 : x
  2. Step 2: Convert to fraction form
    16,974/23,425.92 = 9,522/x
  3. Step 3: Cross multiply
    16,974x = 23,425.92 × 9,522
  4. Step 4: Simplify right side
    16,974x = 223,061,610.24
  5. Step 5: Solve for x
    x = 223,061,610.24/16,974
  6. Step 6: Final answer
    x = 13,141.37

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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.