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Finding the Fourth Proportional to 22,934, 34,402.62 and 9,083

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Solution

The fourth proportional to 22,934, 34,402.62 and 9,083 is: 13,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934 : 34,402.62 = 9,083 : x
  2. Step 2: Convert to fraction form
    22,934/34,402.62 = 9,083/x
  3. Step 3: Cross multiply
    22,934x = 34,402.62 × 9,083
  4. Step 4: Simplify right side
    22,934x = 312,478,997.46
  5. Step 5: Solve for x
    x = 312,478,997.46/22,934
  6. Step 6: Final answer
    x = 13,625.14

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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.