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Finding the Fourth Proportional to 18,727.68, 25,844.04 and 10,344

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Solution

The fourth proportional to 18,727.68, 25,844.04 and 10,344 is: 14,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,727.68 : 25,844.04 = 10,344 : x
  2. Step 2: Convert to fraction form
    18,727.68/25,844.04 = 10,344/x
  3. Step 3: Cross multiply
    18,727.68x = 25,844.04 × 10,344
  4. Step 4: Simplify right side
    18,727.68x = 267,330,749.76
  5. Step 5: Solve for x
    x = 267,330,749.76/18,727.68
  6. Step 6: Final answer
    x = 14,274.63

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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.