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Finding the Fourth Proportional to 26,005.24, 38,984.09 and 9,361.46

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Solution

The fourth proportional to 26,005.24, 38,984.09 and 9,361.46 is: 14,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.24 : 38,984.09 = 9,361.46 : x
  2. Step 2: Convert to fraction form
    26,005.24/38,984.09 = 9,361.46/x
  3. Step 3: Cross multiply
    26,005.24x = 38,984.09 × 9,361.46
  4. Step 4: Simplify right side
    26,005.24x = 364,948,120.04
  5. Step 5: Solve for x
    x = 364,948,120.04/26,005.24
  6. Step 6: Final answer
    x = 14,033.64

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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.