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Finding the Fourth Proportional to 26,581.97, 39,880.75 and 7,862.50

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Solution

The fourth proportional to 26,581.97, 39,880.75 and 7,862.50 is: 11,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,581.97 : 39,880.75 = 7,862.50 : x
  2. Step 2: Convert to fraction form
    26,581.97/39,880.75 = 7,862.50/x
  3. Step 3: Cross multiply
    26,581.97x = 39,880.75 × 7,862.50
  4. Step 4: Simplify right side
    26,581.97x = 313,562,416.53
  5. Step 5: Solve for x
    x = 313,562,416.53/26,581.97
  6. Step 6: Final answer
    x = 11,796.06

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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.