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Finding the Fourth Proportional to 26,578.17, 39,855.31 and 7,851.68

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Solution

The fourth proportional to 26,578.17, 39,855.31 and 7,851.68 is: 11,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.17 : 39,855.31 = 7,851.68 : x
  2. Step 2: Convert to fraction form
    26,578.17/39,855.31 = 7,851.68/x
  3. Step 3: Cross multiply
    26,578.17x = 39,855.31 × 7,851.68
  4. Step 4: Simplify right side
    26,578.17x = 312,931,070.97
  5. Step 5: Solve for x
    x = 312,931,070.97/26,578.17
  6. Step 6: Final answer
    x = 11,773.99

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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.