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Finding the Fourth Proportional to 26,197.32, 39,297.42 and 7,475.90

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Solution

The fourth proportional to 26,197.32, 39,297.42 and 7,475.90 is: 11,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197.32 : 39,297.42 = 7,475.90 : x
  2. Step 2: Convert to fraction form
    26,197.32/39,297.42 = 7,475.90/x
  3. Step 3: Cross multiply
    26,197.32x = 39,297.42 × 7,475.90
  4. Step 4: Simplify right side
    26,197.32x = 293,783,385.69
  5. Step 5: Solve for x
    x = 293,783,385.69/26,197.32
  6. Step 6: Final answer
    x = 11,214.25

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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.