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Finding the Fourth Proportional to 22,156.10, 33,234.15 and 8,116.10

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Solution

The fourth proportional to 22,156.10, 33,234.15 and 8,116.10 is: 12,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.10 : 33,234.15 = 8,116.10 : x
  2. Step 2: Convert to fraction form
    22,156.10/33,234.15 = 8,116.10/x
  3. Step 3: Cross multiply
    22,156.10x = 33,234.15 × 8,116.10
  4. Step 4: Simplify right side
    22,156.10x = 269,731,684.82
  5. Step 5: Solve for x
    x = 269,731,684.82/22,156.10
  6. Step 6: Final answer
    x = 12,174.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.