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Finding the Fourth Proportional to 25,396.38, 35,035.34 and 16,446.83

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Solution

The fourth proportional to 25,396.38, 35,035.34 and 16,446.83 is: 22,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.38 : 35,035.34 = 16,446.83 : x
  2. Step 2: Convert to fraction form
    25,396.38/35,035.34 = 16,446.83/x
  3. Step 3: Cross multiply
    25,396.38x = 35,035.34 × 16,446.83
  4. Step 4: Simplify right side
    25,396.38x = 576,220,023.56
  5. Step 5: Solve for x
    x = 576,220,023.56/25,396.38
  6. Step 6: Final answer
    x = 22,689.06

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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.