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Finding the Fourth Proportional to 12,313.29, 18,472.43 and 5,294.01

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Solution

The fourth proportional to 12,313.29, 18,472.43 and 5,294.01 is: 7,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.29 : 18,472.43 = 5,294.01 : x
  2. Step 2: Convert to fraction form
    12,313.29/18,472.43 = 5,294.01/x
  3. Step 3: Cross multiply
    12,313.29x = 18,472.43 × 5,294.01
  4. Step 4: Simplify right side
    12,313.29x = 97,793,229.14
  5. Step 5: Solve for x
    x = 97,793,229.14/12,313.29
  6. Step 6: Final answer
    x = 7,942.09

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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.