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Finding the Fourth Proportional to 16,111.85, 22,234.25 and 9,038.25

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Solution

The fourth proportional to 16,111.85, 22,234.25 and 9,038.25 is: 12,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.85 : 22,234.25 = 9,038.25 : x
  2. Step 2: Convert to fraction form
    16,111.85/22,234.25 = 9,038.25/x
  3. Step 3: Cross multiply
    16,111.85x = 22,234.25 × 9,038.25
  4. Step 4: Simplify right side
    16,111.85x = 200,958,732.66
  5. Step 5: Solve for x
    x = 200,958,732.66/16,111.85
  6. Step 6: Final answer
    x = 12,472.73

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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.