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Finding the Fourth Proportional to 23,157.78, 31,958.98 and 13,086.65

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Solution

The fourth proportional to 23,157.78, 31,958.98 and 13,086.65 is: 18,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.78 : 31,958.98 = 13,086.65 : x
  2. Step 2: Convert to fraction form
    23,157.78/31,958.98 = 13,086.65/x
  3. Step 3: Cross multiply
    23,157.78x = 31,958.98 × 13,086.65
  4. Step 4: Simplify right side
    23,157.78x = 418,235,793.11
  5. Step 5: Solve for x
    x = 418,235,793.11/23,157.78
  6. Step 6: Final answer
    x = 18,060.27

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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.