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Finding the Fourth Proportional to 17,233.96, 25,814.62 and 7,881.85

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Solution

The fourth proportional to 17,233.96, 25,814.62 and 7,881.85 is: 11,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.96 : 25,814.62 = 7,881.85 : x
  2. Step 2: Convert to fraction form
    17,233.96/25,814.62 = 7,881.85/x
  3. Step 3: Cross multiply
    17,233.96x = 25,814.62 × 7,881.85
  4. Step 4: Simplify right side
    17,233.96x = 203,466,962.65
  5. Step 5: Solve for x
    x = 203,466,962.65/17,233.96
  6. Step 6: Final answer
    x = 11,806.16

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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.