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Finding the Fourth Proportional to 16,278.86, 22,466.90 and 9,205.13

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Solution

The fourth proportional to 16,278.86, 22,466.90 and 9,205.13 is: 12,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.86 : 22,466.90 = 9,205.13 : x
  2. Step 2: Convert to fraction form
    16,278.86/22,466.90 = 9,205.13/x
  3. Step 3: Cross multiply
    16,278.86x = 22,466.90 × 9,205.13
  4. Step 4: Simplify right side
    16,278.86x = 206,810,735.20
  5. Step 5: Solve for x
    x = 206,810,735.20/16,278.86
  6. Step 6: Final answer
    x = 12,704.25

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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.