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Finding the Fourth Proportional to 14,817.31, 20,448.18 and 8,102.81

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Solution

The fourth proportional to 14,817.31, 20,448.18 and 8,102.81 is: 11,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.31 : 20,448.18 = 8,102.81 : x
  2. Step 2: Convert to fraction form
    14,817.31/20,448.18 = 8,102.81/x
  3. Step 3: Cross multiply
    14,817.31x = 20,448.18 × 8,102.81
  4. Step 4: Simplify right side
    14,817.31x = 165,687,717.39
  5. Step 5: Solve for x
    x = 165,687,717.39/14,817.31
  6. Step 6: Final answer
    x = 11,182.04

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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.