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Finding the Fourth Proportional to 14,642.67, 21,964.02 and 3,549.36

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Solution

The fourth proportional to 14,642.67, 21,964.02 and 3,549.36 is: 5,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.67 : 21,964.02 = 3,549.36 : x
  2. Step 2: Convert to fraction form
    14,642.67/21,964.02 = 3,549.36/x
  3. Step 3: Cross multiply
    14,642.67x = 21,964.02 × 3,549.36
  4. Step 4: Simplify right side
    14,642.67x = 77,958,214.03
  5. Step 5: Solve for x
    x = 77,958,214.03/14,642.67
  6. Step 6: Final answer
    x = 5,324.04

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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.