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Finding the Fourth Proportional to 26,494.40, 39,705.42 and 13,355.66

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Solution

The fourth proportional to 26,494.40, 39,705.42 and 13,355.66 is: 20,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.40 : 39,705.42 = 13,355.66 : x
  2. Step 2: Convert to fraction form
    26,494.40/39,705.42 = 13,355.66/x
  3. Step 3: Cross multiply
    26,494.40x = 39,705.42 × 13,355.66
  4. Step 4: Simplify right side
    26,494.40x = 530,292,089.68
  5. Step 5: Solve for x
    x = 530,292,089.68/26,494.40
  6. Step 6: Final answer
    x = 20,015.25

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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.