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Finding the Fourth Proportional to 26,120.88, 39,171.60 and 8,586

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Solution

The fourth proportional to 26,120.88, 39,171.60 and 8,586 is: 12,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,120.88 : 39,171.60 = 8,586 : x
  2. Step 2: Convert to fraction form
    26,120.88/39,171.60 = 8,586/x
  3. Step 3: Cross multiply
    26,120.88x = 39,171.60 × 8,586
  4. Step 4: Simplify right side
    26,120.88x = 336,327,357.60
  5. Step 5: Solve for x
    x = 336,327,357.60/26,120.88
  6. Step 6: Final answer
    x = 12,875.81

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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.