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Finding the Fourth Proportional to 22,114.64, 30,524.64 and 17,669.36

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Solution

The fourth proportional to 22,114.64, 30,524.64 and 17,669.36 is: 24,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.64 : 30,524.64 = 17,669.36 : x
  2. Step 2: Convert to fraction form
    22,114.64/30,524.64 = 17,669.36/x
  3. Step 3: Cross multiply
    22,114.64x = 30,524.64 × 17,669.36
  4. Step 4: Simplify right side
    22,114.64x = 539,350,853.03
  5. Step 5: Solve for x
    x = 539,350,853.03/22,114.64
  6. Step 6: Final answer
    x = 24,388.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.