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Finding the Fourth Proportional to 26,205.86, 39,314.89 and 7,486.16

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Solution

The fourth proportional to 26,205.86, 39,314.89 and 7,486.16 is: 11,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.86 : 39,314.89 = 7,486.16 : x
  2. Step 2: Convert to fraction form
    26,205.86/39,314.89 = 7,486.16/x
  3. Step 3: Cross multiply
    26,205.86x = 39,314.89 × 7,486.16
  4. Step 4: Simplify right side
    26,205.86x = 294,317,327.60
  5. Step 5: Solve for x
    x = 294,317,327.60/26,205.86
  6. Step 6: Final answer
    x = 11,230.97

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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.