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Finding the Fourth Proportional to 26,097.84, 39,138.52 and 8,563.60

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Solution

The fourth proportional to 26,097.84, 39,138.52 and 8,563.60 is: 12,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,097.84 : 39,138.52 = 8,563.60 : x
  2. Step 2: Convert to fraction form
    26,097.84/39,138.52 = 8,563.60/x
  3. Step 3: Cross multiply
    26,097.84x = 39,138.52 × 8,563.60
  4. Step 4: Simplify right side
    26,097.84x = 335,166,629.87
  5. Step 5: Solve for x
    x = 335,166,629.87/26,097.84
  6. Step 6: Final answer
    x = 12,842.70

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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.