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Finding the Fourth Proportional to 12,642.97, 18,964.31 and 3,282.16

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Solution

The fourth proportional to 12,642.97, 18,964.31 and 3,282.16 is: 4,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.97 : 18,964.31 = 3,282.16 : x
  2. Step 2: Convert to fraction form
    12,642.97/18,964.31 = 3,282.16/x
  3. Step 3: Cross multiply
    12,642.97x = 18,964.31 × 3,282.16
  4. Step 4: Simplify right side
    12,642.97x = 62,243,899.71
  5. Step 5: Solve for x
    x = 62,243,899.71/12,642.97
  6. Step 6: Final answer
    x = 4,923.20

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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.