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Finding the Fourth Proportional to 23,311.31, 32,169.62 and 12,700.96

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Solution

The fourth proportional to 23,311.31, 32,169.62 and 12,700.96 is: 17,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.31 : 32,169.62 = 12,700.96 : x
  2. Step 2: Convert to fraction form
    23,311.31/32,169.62 = 12,700.96/x
  3. Step 3: Cross multiply
    23,311.31x = 32,169.62 × 12,700.96
  4. Step 4: Simplify right side
    23,311.31x = 408,585,008.16
  5. Step 5: Solve for x
    x = 408,585,008.16/23,311.31
  6. Step 6: Final answer
    x = 17,527.33

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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.