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Finding the Fourth Proportional to 26,168.32, 39,248.12 and 7,696

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Solution

The fourth proportional to 26,168.32, 39,248.12 and 7,696 is: 11,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,168.32 : 39,248.12 = 7,696 : x
  2. Step 2: Convert to fraction form
    26,168.32/39,248.12 = 7,696/x
  3. Step 3: Cross multiply
    26,168.32x = 39,248.12 × 7,696
  4. Step 4: Simplify right side
    26,168.32x = 302,053,531.52
  5. Step 5: Solve for x
    x = 302,053,531.52/26,168.32
  6. Step 6: Final answer
    x = 11,542.72

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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.