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Finding the Fourth Proportional to 18,972.46, 28,464.09 and 6,494.14

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Solution

The fourth proportional to 18,972.46, 28,464.09 and 6,494.14 is: 9,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972.46 : 28,464.09 = 6,494.14 : x
  2. Step 2: Convert to fraction form
    18,972.46/28,464.09 = 6,494.14/x
  3. Step 3: Cross multiply
    18,972.46x = 28,464.09 × 6,494.14
  4. Step 4: Simplify right side
    18,972.46x = 184,849,785.43
  5. Step 5: Solve for x
    x = 184,849,785.43/18,972.46
  6. Step 6: Final answer
    x = 9,743.06

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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.