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Finding the Fourth Proportional to 23,758.38, 35,614.00 and 13,233.22

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Solution

The fourth proportional to 23,758.38, 35,614.00 and 13,233.22 is: 19,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.38 : 35,614.00 = 13,233.22 : x
  2. Step 2: Convert to fraction form
    23,758.38/35,614.00 = 13,233.22/x
  3. Step 3: Cross multiply
    23,758.38x = 35,614.00 × 13,233.22
  4. Step 4: Simplify right side
    23,758.38x = 471,287,652.84
  5. Step 5: Solve for x
    x = 471,287,652.84/23,758.38
  6. Step 6: Final answer
    x = 19,836.69

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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.