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Finding the Fourth Proportional to 16,234.31, 22,401.11 and 9,862.25

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Solution

The fourth proportional to 16,234.31, 22,401.11 and 9,862.25 is: 13,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.31 : 22,401.11 = 9,862.25 : x
  2. Step 2: Convert to fraction form
    16,234.31/22,401.11 = 9,862.25/x
  3. Step 3: Cross multiply
    16,234.31x = 22,401.11 × 9,862.25
  4. Step 4: Simplify right side
    16,234.31x = 220,925,259.75
  5. Step 5: Solve for x
    x = 220,925,259.75/16,234.31
  6. Step 6: Final answer
    x = 13,608.54

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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.