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Finding the Fourth Proportional to 18,274.41, 27,411.61 and 6,878.47

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Solution

The fourth proportional to 18,274.41, 27,411.61 and 6,878.47 is: 10,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.41 : 27,411.61 = 6,878.47 : x
  2. Step 2: Convert to fraction form
    18,274.41/27,411.61 = 6,878.47/x
  3. Step 3: Cross multiply
    18,274.41x = 27,411.61 × 6,878.47
  4. Step 4: Simplify right side
    18,274.41x = 188,549,919.84
  5. Step 5: Solve for x
    x = 188,549,919.84/18,274.41
  6. Step 6: Final answer
    x = 10,317.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.