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Finding the Fourth Proportional to 12,294.18, 18,431.82 and 6,364.71

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Solution

The fourth proportional to 12,294.18, 18,431.82 and 6,364.71 is: 9,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.18 : 18,431.82 = 6,364.71 : x
  2. Step 2: Convert to fraction form
    12,294.18/18,431.82 = 6,364.71/x
  3. Step 3: Cross multiply
    12,294.18x = 18,431.82 × 6,364.71
  4. Step 4: Simplify right side
    12,294.18x = 117,313,189.07
  5. Step 5: Solve for x
    x = 117,313,189.07/12,294.18
  6. Step 6: Final answer
    x = 9,542.17

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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.