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Finding the Fourth Proportional to 14,044.74, 19,381.77 and 7,757.14

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Solution

The fourth proportional to 14,044.74, 19,381.77 and 7,757.14 is: 10,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.74 : 19,381.77 = 7,757.14 : x
  2. Step 2: Convert to fraction form
    14,044.74/19,381.77 = 7,757.14/x
  3. Step 3: Cross multiply
    14,044.74x = 19,381.77 × 7,757.14
  4. Step 4: Simplify right side
    14,044.74x = 150,347,103.34
  5. Step 5: Solve for x
    x = 150,347,103.34/14,044.74
  6. Step 6: Final answer
    x = 10,704.87

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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.