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Finding the Fourth Proportional to 14,657.10, 22,000.31 and 8,086.38

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Solution

The fourth proportional to 14,657.10, 22,000.31 and 8,086.38 is: 12,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.10 : 22,000.31 = 8,086.38 : x
  2. Step 2: Convert to fraction form
    14,657.10/22,000.31 = 8,086.38/x
  3. Step 3: Cross multiply
    14,657.10x = 22,000.31 × 8,086.38
  4. Step 4: Simplify right side
    14,657.10x = 177,902,826.35
  5. Step 5: Solve for x
    x = 177,902,826.35/14,657.10
  6. Step 6: Final answer
    x = 12,137.66

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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.