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Finding the Fourth Proportional to 16,279.12, 22,465.05 and 9,205.80

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Solution

The fourth proportional to 16,279.12, 22,465.05 and 9,205.80 is: 12,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.12 : 22,465.05 = 9,205.80 : x
  2. Step 2: Convert to fraction form
    16,279.12/22,465.05 = 9,205.80/x
  3. Step 3: Cross multiply
    16,279.12x = 22,465.05 × 9,205.80
  4. Step 4: Simplify right side
    16,279.12x = 206,808,757.29
  5. Step 5: Solve for x
    x = 206,808,757.29/16,279.12
  6. Step 6: Final answer
    x = 12,703.93

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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.