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Finding the Fourth Proportional to 34,201.80, 51,306.48 and 14,209.11

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Solution

The fourth proportional to 34,201.80, 51,306.48 and 14,209.11 is: 21,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.80 : 51,306.48 = 14,209.11 : x
  2. Step 2: Convert to fraction form
    34,201.80/51,306.48 = 14,209.11/x
  3. Step 3: Cross multiply
    34,201.80x = 51,306.48 × 14,209.11
  4. Step 4: Simplify right side
    34,201.80x = 729,019,418.03
  5. Step 5: Solve for x
    x = 729,019,418.03/34,201.80
  6. Step 6: Final answer
    x = 21,315.24

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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.