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Finding the Fourth Proportional to 14,306.21, 19,758.74 and 9,761.09

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Solution

The fourth proportional to 14,306.21, 19,758.74 and 9,761.09 is: 13,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.21 : 19,758.74 = 9,761.09 : x
  2. Step 2: Convert to fraction form
    14,306.21/19,758.74 = 9,761.09/x
  3. Step 3: Cross multiply
    14,306.21x = 19,758.74 × 9,761.09
  4. Step 4: Simplify right side
    14,306.21x = 192,866,839.43
  5. Step 5: Solve for x
    x = 192,866,839.43/14,306.21
  6. Step 6: Final answer
    x = 13,481.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.