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Finding the Fourth Proportional to 22,520.02, 33,784.11 and 6,934

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Solution

The fourth proportional to 22,520.02, 33,784.11 and 6,934 is: 10,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.02 : 33,784.11 = 6,934 : x
  2. Step 2: Convert to fraction form
    22,520.02/33,784.11 = 6,934/x
  3. Step 3: Cross multiply
    22,520.02x = 33,784.11 × 6,934
  4. Step 4: Simplify right side
    22,520.02x = 234,259,018.74
  5. Step 5: Solve for x
    x = 234,259,018.74/22,520.02
  6. Step 6: Final answer
    x = 10,402.26

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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.