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Finding the Fourth Proportional to 22,142.64, 30,565.37 and 16,221.34

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Solution

The fourth proportional to 22,142.64, 30,565.37 and 16,221.34 is: 22,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.64 : 30,565.37 = 16,221.34 : x
  2. Step 2: Convert to fraction form
    22,142.64/30,565.37 = 16,221.34/x
  3. Step 3: Cross multiply
    22,142.64x = 30,565.37 × 16,221.34
  4. Step 4: Simplify right side
    22,142.64x = 495,811,223.14
  5. Step 5: Solve for x
    x = 495,811,223.14/22,142.64
  6. Step 6: Final answer
    x = 22,391.69

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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.