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Finding the Fourth Proportional to 16,279.62, 22,465.20 and 9,205.86

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Solution

The fourth proportional to 16,279.62, 22,465.20 and 9,205.86 is: 12,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.62 : 22,465.20 = 9,205.86 : x
  2. Step 2: Convert to fraction form
    16,279.62/22,465.20 = 9,205.86/x
  3. Step 3: Cross multiply
    16,279.62x = 22,465.20 × 9,205.86
  4. Step 4: Simplify right side
    16,279.62x = 206,811,486.07
  5. Step 5: Solve for x
    x = 206,811,486.07/16,279.62
  6. Step 6: Final answer
    x = 12,703.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.