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Finding the Fourth Proportional to 17,100.96, 25,632 and 7,234.08

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Solution

The fourth proportional to 17,100.96, 25,632 and 7,234.08 is: 10,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.96 : 25,632 = 7,234.08 : x
  2. Step 2: Convert to fraction form
    17,100.96/25,632 = 7,234.08/x
  3. Step 3: Cross multiply
    17,100.96x = 25,632 × 7,234.08
  4. Step 4: Simplify right side
    17,100.96x = 185,423,938.56
  5. Step 5: Solve for x
    x = 185,423,938.56/17,100.96
  6. Step 6: Final answer
    x = 10,842.90

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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.