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Finding the Fourth Proportional to 13,867.92, 19,136.22 and 8,202.87

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Solution

The fourth proportional to 13,867.92, 19,136.22 and 8,202.87 is: 11,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.92 : 19,136.22 = 8,202.87 : x
  2. Step 2: Convert to fraction form
    13,867.92/19,136.22 = 8,202.87/x
  3. Step 3: Cross multiply
    13,867.92x = 19,136.22 × 8,202.87
  4. Step 4: Simplify right side
    13,867.92x = 156,971,924.95
  5. Step 5: Solve for x
    x = 156,971,924.95/13,867.92
  6. Step 6: Final answer
    x = 11,319.07

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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.