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Finding the Fourth Proportional to 18,473.28, 27,709.08 and 6,785.64

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Solution

The fourth proportional to 18,473.28, 27,709.08 and 6,785.64 is: 10,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,473.28 : 27,709.08 = 6,785.64 : x
  2. Step 2: Convert to fraction form
    18,473.28/27,709.08 = 6,785.64/x
  3. Step 3: Cross multiply
    18,473.28x = 27,709.08 × 6,785.64
  4. Step 4: Simplify right side
    18,473.28x = 188,023,841.61
  5. Step 5: Solve for x
    x = 188,023,841.61/18,473.28
  6. Step 6: Final answer
    x = 10,178.15

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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.