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Finding the Fourth Proportional to 13,229.13, 18,256.73 and 7,640.13

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Solution

The fourth proportional to 13,229.13, 18,256.73 and 7,640.13 is: 10,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.13 : 18,256.73 = 7,640.13 : x
  2. Step 2: Convert to fraction form
    13,229.13/18,256.73 = 7,640.13/x
  3. Step 3: Cross multiply
    13,229.13x = 18,256.73 × 7,640.13
  4. Step 4: Simplify right side
    13,229.13x = 139,483,790.57
  5. Step 5: Solve for x
    x = 139,483,790.57/13,229.13
  6. Step 6: Final answer
    x = 10,543.69

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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.