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Finding the Fourth Proportional to 16,278.85, 22,464.13 and 9,205.39

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Solution

The fourth proportional to 16,278.85, 22,464.13 and 9,205.39 is: 12,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.85 : 22,464.13 = 9,205.39 : x
  2. Step 2: Convert to fraction form
    16,278.85/22,464.13 = 9,205.39/x
  3. Step 3: Cross multiply
    16,278.85x = 22,464.13 × 9,205.39
  4. Step 4: Simplify right side
    16,278.85x = 206,791,077.66
  5. Step 5: Solve for x
    x = 206,791,077.66/16,278.85
  6. Step 6: Final answer
    x = 12,703.05

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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.