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Finding the Fourth Proportional to 14,817.97, 20,448.05 and 8,102.30

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Solution

The fourth proportional to 14,817.97, 20,448.05 and 8,102.30 is: 11,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.97 : 20,448.05 = 8,102.30 : x
  2. Step 2: Convert to fraction form
    14,817.97/20,448.05 = 8,102.30/x
  3. Step 3: Cross multiply
    14,817.97x = 20,448.05 × 8,102.30
  4. Step 4: Simplify right side
    14,817.97x = 165,676,092.76
  5. Step 5: Solve for x
    x = 165,676,092.76/14,817.97
  6. Step 6: Final answer
    x = 11,180.75

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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.