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Finding the Fourth Proportional to 13,529, 18,668.71 and 8,491.61

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Solution

The fourth proportional to 13,529, 18,668.71 and 8,491.61 is: 11,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 18,668.71 = 8,491.61 : x
  2. Step 2: Convert to fraction form
    13,529/18,668.71 = 8,491.61/x
  3. Step 3: Cross multiply
    13,529x = 18,668.71 × 8,491.61
  4. Step 4: Simplify right side
    13,529x = 158,527,404.52
  5. Step 5: Solve for x
    x = 158,527,404.52/13,529
  6. Step 6: Final answer
    x = 11,717.60

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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.