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Finding the Fourth Proportional to 15,961.65, 23,957.23 and 8,069.72

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Solution

The fourth proportional to 15,961.65, 23,957.23 and 8,069.72 is: 12,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,961.65 : 23,957.23 = 8,069.72 : x
  2. Step 2: Convert to fraction form
    15,961.65/23,957.23 = 8,069.72/x
  3. Step 3: Cross multiply
    15,961.65x = 23,957.23 × 8,069.72
  4. Step 4: Simplify right side
    15,961.65x = 193,327,998.12
  5. Step 5: Solve for x
    x = 193,327,998.12/15,961.65
  6. Step 6: Final answer
    x = 12,112.03

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Why These Related Problems?

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