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Finding the Fourth Proportional to 13,229.04, 18,257.76 and 7,640.04

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Solution

The fourth proportional to 13,229.04, 18,257.76 and 7,640.04 is: 10,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.04 : 18,257.76 = 7,640.04 : x
  2. Step 2: Convert to fraction form
    13,229.04/18,257.76 = 7,640.04/x
  3. Step 3: Cross multiply
    13,229.04x = 18,257.76 × 7,640.04
  4. Step 4: Simplify right side
    13,229.04x = 139,490,016.71
  5. Step 5: Solve for x
    x = 139,490,016.71/13,229.04
  6. Step 6: Final answer
    x = 10,544.23

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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.