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Finding the Fourth Proportional to 14,642.54, 21,963.87 and 3,549.20

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Solution

The fourth proportional to 14,642.54, 21,963.87 and 3,549.20 is: 5,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.54 : 21,963.87 = 3,549.20 : x
  2. Step 2: Convert to fraction form
    14,642.54/21,963.87 = 3,549.20/x
  3. Step 3: Cross multiply
    14,642.54x = 21,963.87 × 3,549.20
  4. Step 4: Simplify right side
    14,642.54x = 77,954,057.58
  5. Step 5: Solve for x
    x = 77,954,057.58/14,642.54
  6. Step 6: Final answer
    x = 5,323.81

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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.