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Finding the Fourth Proportional to 11,614.16, 17,421.24 and 3,825.20

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Solution

The fourth proportional to 11,614.16, 17,421.24 and 3,825.20 is: 5,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.16 : 17,421.24 = 3,825.20 : x
  2. Step 2: Convert to fraction form
    11,614.16/17,421.24 = 3,825.20/x
  3. Step 3: Cross multiply
    11,614.16x = 17,421.24 × 3,825.20
  4. Step 4: Simplify right side
    11,614.16x = 66,639,727.25
  5. Step 5: Solve for x
    x = 66,639,727.25/11,614.16
  6. Step 6: Final answer
    x = 5,737.80

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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.