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Finding the Fourth Proportional to 13,233.42, 19,853 and 3,874.21

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Solution

The fourth proportional to 13,233.42, 19,853 and 3,874.21 is: 5,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.42 : 19,853 = 3,874.21 : x
  2. Step 2: Convert to fraction form
    13,233.42/19,853 = 3,874.21/x
  3. Step 3: Cross multiply
    13,233.42x = 19,853 × 3,874.21
  4. Step 4: Simplify right side
    13,233.42x = 76,914,691.13
  5. Step 5: Solve for x
    x = 76,914,691.13/13,233.42
  6. Step 6: Final answer
    x = 5,812.16

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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.