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Finding the Fourth Proportional to 14,563, 21,844.50 and 3,619

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Solution

The fourth proportional to 14,563, 21,844.50 and 3,619 is: 5,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563 : 21,844.50 = 3,619 : x
  2. Step 2: Convert to fraction form
    14,563/21,844.50 = 3,619/x
  3. Step 3: Cross multiply
    14,563x = 21,844.50 × 3,619
  4. Step 4: Simplify right side
    14,563x = 79,055,245.50
  5. Step 5: Solve for x
    x = 79,055,245.50/14,563
  6. Step 6: Final answer
    x = 5,428.50

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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.