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Finding the Fourth Proportional to 14,044.86, 19,381.88 and 7,757.24

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Solution

The fourth proportional to 14,044.86, 19,381.88 and 7,757.24 is: 10,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.86 : 19,381.88 = 7,757.24 : x
  2. Step 2: Convert to fraction form
    14,044.86/19,381.88 = 7,757.24/x
  3. Step 3: Cross multiply
    14,044.86x = 19,381.88 × 7,757.24
  4. Step 4: Simplify right side
    14,044.86x = 150,349,817.29
  5. Step 5: Solve for x
    x = 150,349,817.29/14,044.86
  6. Step 6: Final answer
    x = 10,704.97

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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.