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Finding the Fourth Proportional to 14,563.25, 21,844.89 and 3,619.25

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Solution

The fourth proportional to 14,563.25, 21,844.89 and 3,619.25 is: 5,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.25 : 21,844.89 = 3,619.25 : x
  2. Step 2: Convert to fraction form
    14,563.25/21,844.89 = 3,619.25/x
  3. Step 3: Cross multiply
    14,563.25x = 21,844.89 × 3,619.25
  4. Step 4: Simplify right side
    14,563.25x = 79,062,118.13
  5. Step 5: Solve for x
    x = 79,062,118.13/14,563.25
  6. Step 6: Final answer
    x = 5,428.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.