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Finding the Fourth Proportional to 22,643.04, 33,903 and 13,269.24

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Solution

The fourth proportional to 22,643.04, 33,903 and 13,269.24 is: 19,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.04 : 33,903 = 13,269.24 : x
  2. Step 2: Convert to fraction form
    22,643.04/33,903 = 13,269.24/x
  3. Step 3: Cross multiply
    22,643.04x = 33,903 × 13,269.24
  4. Step 4: Simplify right side
    22,643.04x = 449,867,043.72
  5. Step 5: Solve for x
    x = 449,867,043.72/22,643.04
  6. Step 6: Final answer
    x = 19,867.78

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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.