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Finding the Fourth Proportional to 17,115.76, 25,649.16 and 7,732.48

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Solution

The fourth proportional to 17,115.76, 25,649.16 and 7,732.48 is: 11,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.76 : 25,649.16 = 7,732.48 : x
  2. Step 2: Convert to fraction form
    17,115.76/25,649.16 = 7,732.48/x
  3. Step 3: Cross multiply
    17,115.76x = 25,649.16 × 7,732.48
  4. Step 4: Simplify right side
    17,115.76x = 198,331,616.72
  5. Step 5: Solve for x
    x = 198,331,616.72/17,115.76
  6. Step 6: Final answer
    x = 11,587.66

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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.