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Finding the Fourth Proportional to 13,700.17, 18,906.24 and 7,412.55

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Solution

The fourth proportional to 13,700.17, 18,906.24 and 7,412.55 is: 10,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.17 : 18,906.24 = 7,412.55 : x
  2. Step 2: Convert to fraction form
    13,700.17/18,906.24 = 7,412.55/x
  3. Step 3: Cross multiply
    13,700.17x = 18,906.24 × 7,412.55
  4. Step 4: Simplify right side
    13,700.17x = 140,143,383.52
  5. Step 5: Solve for x
    x = 140,143,383.52/13,700.17
  6. Step 6: Final answer
    x = 10,229.32

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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.