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Finding the Fourth Proportional to 26,338.32, 39,506.94 and 7,617.60

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Solution

The fourth proportional to 26,338.32, 39,506.94 and 7,617.60 is: 11,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,338.32 : 39,506.94 = 7,617.60 : x
  2. Step 2: Convert to fraction form
    26,338.32/39,506.94 = 7,617.60/x
  3. Step 3: Cross multiply
    26,338.32x = 39,506.94 × 7,617.60
  4. Step 4: Simplify right side
    26,338.32x = 300,948,066.14
  5. Step 5: Solve for x
    x = 300,948,066.14/26,338.32
  6. Step 6: Final answer
    x = 11,426.24

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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.