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Finding the Fourth Proportional to 16,098.20, 22,215 and 9,025

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Solution

The fourth proportional to 16,098.20, 22,215 and 9,025 is: 12,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.20 : 22,215 = 9,025 : x
  2. Step 2: Convert to fraction form
    16,098.20/22,215 = 9,025/x
  3. Step 3: Cross multiply
    16,098.20x = 22,215 × 9,025
  4. Step 4: Simplify right side
    16,098.20x = 200,490,375
  5. Step 5: Solve for x
    x = 200,490,375/16,098.20
  6. Step 6: Final answer
    x = 12,454.21

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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.