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Finding the Fourth Proportional to 21,842.79, 32,758.77 and 9,361.40

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Solution

The fourth proportional to 21,842.79, 32,758.77 and 9,361.40 is: 14,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.79 : 32,758.77 = 9,361.40 : x
  2. Step 2: Convert to fraction form
    21,842.79/32,758.77 = 9,361.40/x
  3. Step 3: Cross multiply
    21,842.79x = 32,758.77 × 9,361.40
  4. Step 4: Simplify right side
    21,842.79x = 306,667,949.48
  5. Step 5: Solve for x
    x = 306,667,949.48/21,842.79
  6. Step 6: Final answer
    x = 14,039.78

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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.