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Finding the Fourth Proportional to 22,672.20, 31,767 and 22,672.20

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Solution

The fourth proportional to 22,672.20, 31,767 and 22,672.20 is: 31,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.20 : 31,767 = 22,672.20 : x
  2. Step 2: Convert to fraction form
    22,672.20/31,767 = 22,672.20/x
  3. Step 3: Cross multiply
    22,672.20x = 31,767 × 22,672.20
  4. Step 4: Simplify right side
    22,672.20x = 720,227,777.40
  5. Step 5: Solve for x
    x = 720,227,777.40/22,672.20
  6. Step 6: Final answer
    x = 31,767.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.