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Finding the Fourth Proportional to 25,546.38, 35,234.04 and 16,596.77

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Solution

The fourth proportional to 25,546.38, 35,234.04 and 16,596.77 is: 22,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546.38 : 35,234.04 = 16,596.77 : x
  2. Step 2: Convert to fraction form
    25,546.38/35,234.04 = 16,596.77/x
  3. Step 3: Cross multiply
    25,546.38x = 35,234.04 × 16,596.77
  4. Step 4: Simplify right side
    25,546.38x = 584,771,151.77
  5. Step 5: Solve for x
    x = 584,771,151.77/25,546.38
  6. Step 6: Final answer
    x = 22,890.56

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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.