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Finding the Fourth Proportional to 12,301.43, 18,438.15 and 10,817.75

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Solution

The fourth proportional to 12,301.43, 18,438.15 and 10,817.75 is: 16,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.43 : 18,438.15 = 10,817.75 : x
  2. Step 2: Convert to fraction form
    12,301.43/18,438.15 = 10,817.75/x
  3. Step 3: Cross multiply
    12,301.43x = 18,438.15 × 10,817.75
  4. Step 4: Simplify right side
    12,301.43x = 199,459,383.82
  5. Step 5: Solve for x
    x = 199,459,383.82/12,301.43
  6. Step 6: Final answer
    x = 16,214.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.