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Finding the Fourth Proportional to 13,717.72, 20,561.03 and 6,306.88

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Solution

The fourth proportional to 13,717.72, 20,561.03 and 6,306.88 is: 9,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.72 : 20,561.03 = 6,306.88 : x
  2. Step 2: Convert to fraction form
    13,717.72/20,561.03 = 6,306.88/x
  3. Step 3: Cross multiply
    13,717.72x = 20,561.03 × 6,306.88
  4. Step 4: Simplify right side
    13,717.72x = 129,675,917.35
  5. Step 5: Solve for x
    x = 129,675,917.35/13,717.72
  6. Step 6: Final answer
    x = 9,453.17

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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.