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Finding the Fourth Proportional to 13,736.10, 18,956.16 and 7,767.48

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Solution

The fourth proportional to 13,736.10, 18,956.16 and 7,767.48 is: 10,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.10 : 18,956.16 = 7,767.48 : x
  2. Step 2: Convert to fraction form
    13,736.10/18,956.16 = 7,767.48/x
  3. Step 3: Cross multiply
    13,736.10x = 18,956.16 × 7,767.48
  4. Step 4: Simplify right side
    13,736.10x = 147,241,593.68
  5. Step 5: Solve for x
    x = 147,241,593.68/13,736.10
  6. Step 6: Final answer
    x = 10,719.32

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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.