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Finding the Fourth Proportional to 34,821.34, 52,238.49 and 11,464.18

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Solution

The fourth proportional to 34,821.34, 52,238.49 and 11,464.18 is: 17,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,821.34 : 52,238.49 = 11,464.18 : x
  2. Step 2: Convert to fraction form
    34,821.34/52,238.49 = 11,464.18/x
  3. Step 3: Cross multiply
    34,821.34x = 52,238.49 × 11,464.18
  4. Step 4: Simplify right side
    34,821.34x = 598,871,452.29
  5. Step 5: Solve for x
    x = 598,871,452.29/34,821.34
  6. Step 6: Final answer
    x = 17,198.40

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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.