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Finding the Fourth Proportional to 13,817.04, 19,073.88 and 8,149.86

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Solution

The fourth proportional to 13,817.04, 19,073.88 and 8,149.86 is: 11,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.04 : 19,073.88 = 8,149.86 : x
  2. Step 2: Convert to fraction form
    13,817.04/19,073.88 = 8,149.86/x
  3. Step 3: Cross multiply
    13,817.04x = 19,073.88 × 8,149.86
  4. Step 4: Simplify right side
    13,817.04x = 155,449,451.66
  5. Step 5: Solve for x
    x = 155,449,451.66/13,817.04
  6. Step 6: Final answer
    x = 11,250.56

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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.