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Finding the Fourth Proportional to 22,684, 34,035.31 and 10,027.07

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Solution

The fourth proportional to 22,684, 34,035.31 and 10,027.07 is: 15,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684 : 34,035.31 = 10,027.07 : x
  2. Step 2: Convert to fraction form
    22,684/34,035.31 = 10,027.07/x
  3. Step 3: Cross multiply
    22,684x = 34,035.31 × 10,027.07
  4. Step 4: Simplify right side
    22,684x = 341,274,215.53
  5. Step 5: Solve for x
    x = 341,274,215.53/22,684
  6. Step 6: Final answer
    x = 15,044.71

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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.