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Finding the Fourth Proportional to 26,428.12, 39,645.85 and 8,902.96

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Solution

The fourth proportional to 26,428.12, 39,645.85 and 8,902.96 is: 13,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428.12 : 39,645.85 = 8,902.96 : x
  2. Step 2: Convert to fraction form
    26,428.12/39,645.85 = 8,902.96/x
  3. Step 3: Cross multiply
    26,428.12x = 39,645.85 × 8,902.96
  4. Step 4: Simplify right side
    26,428.12x = 352,965,416.72
  5. Step 5: Solve for x
    x = 352,965,416.72/26,428.12
  6. Step 6: Final answer
    x = 13,355.68

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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.