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Finding the Fourth Proportional to 17,256.48, 25,878.24 and 8,016

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Solution

The fourth proportional to 17,256.48, 25,878.24 and 8,016 is: 12,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256.48 : 25,878.24 = 8,016 : x
  2. Step 2: Convert to fraction form
    17,256.48/25,878.24 = 8,016/x
  3. Step 3: Cross multiply
    17,256.48x = 25,878.24 × 8,016
  4. Step 4: Simplify right side
    17,256.48x = 207,439,971.84
  5. Step 5: Solve for x
    x = 207,439,971.84/17,256.48
  6. Step 6: Final answer
    x = 12,020.99

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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.