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Finding the Fourth Proportional to 13,204.76, 18,224.22 and 7,617.56

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Solution

The fourth proportional to 13,204.76, 18,224.22 and 7,617.56 is: 10,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.76 : 18,224.22 = 7,617.56 : x
  2. Step 2: Convert to fraction form
    13,204.76/18,224.22 = 7,617.56/x
  3. Step 3: Cross multiply
    13,204.76x = 18,224.22 × 7,617.56
  4. Step 4: Simplify right side
    13,204.76x = 138,824,089.30
  5. Step 5: Solve for x
    x = 138,824,089.30/13,204.76
  6. Step 6: Final answer
    x = 10,513.19

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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.