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Finding the Fourth Proportional to 13,224.33, 18,249.71 and 7,256.12

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Solution

The fourth proportional to 13,224.33, 18,249.71 and 7,256.12 is: 10,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.33 : 18,249.71 = 7,256.12 : x
  2. Step 2: Convert to fraction form
    13,224.33/18,249.71 = 7,256.12/x
  3. Step 3: Cross multiply
    13,224.33x = 18,249.71 × 7,256.12
  4. Step 4: Simplify right side
    13,224.33x = 132,421,958.20
  5. Step 5: Solve for x
    x = 132,421,958.20/13,224.33
  6. Step 6: Final answer
    x = 10,013.51

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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.