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Finding the Fourth Proportional to 26,588.60, 39,882.90 and 9,078.20

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Solution

The fourth proportional to 26,588.60, 39,882.90 and 9,078.20 is: 13,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.60 : 39,882.90 = 9,078.20 : x
  2. Step 2: Convert to fraction form
    26,588.60/39,882.90 = 9,078.20/x
  3. Step 3: Cross multiply
    26,588.60x = 39,882.90 × 9,078.20
  4. Step 4: Simplify right side
    26,588.60x = 362,064,942.78
  5. Step 5: Solve for x
    x = 362,064,942.78/26,588.60
  6. Step 6: Final answer
    x = 13,617.30

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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.