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Finding the Fourth Proportional to 16,897, 25,357.02 and 5,953

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Solution

The fourth proportional to 16,897, 25,357.02 and 5,953 is: 8,933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897 : 25,357.02 = 5,953 : x
  2. Step 2: Convert to fraction form
    16,897/25,357.02 = 5,953/x
  3. Step 3: Cross multiply
    16,897x = 25,357.02 × 5,953
  4. Step 4: Simplify right side
    16,897x = 150,950,340.06
  5. Step 5: Solve for x
    x = 150,950,340.06/16,897
  6. Step 6: Final answer
    x = 8,933.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.