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Finding the Fourth Proportional to 13,046.67, 18,006.71 and 7,744.41

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Solution

The fourth proportional to 13,046.67, 18,006.71 and 7,744.41 is: 10,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.67 : 18,006.71 = 7,744.41 : x
  2. Step 2: Convert to fraction form
    13,046.67/18,006.71 = 7,744.41/x
  3. Step 3: Cross multiply
    13,046.67x = 18,006.71 × 7,744.41
  4. Step 4: Simplify right side
    13,046.67x = 139,451,306.27
  5. Step 5: Solve for x
    x = 139,451,306.27/13,046.67
  6. Step 6: Final answer
    x = 10,688.65

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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.