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Finding the Fourth Proportional to 22,073.90, 30,461.31 and 12,002.36

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Solution

The fourth proportional to 22,073.90, 30,461.31 and 12,002.36 is: 16,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,073.90 : 30,461.31 = 12,002.36 : x
  2. Step 2: Convert to fraction form
    22,073.90/30,461.31 = 12,002.36/x
  3. Step 3: Cross multiply
    22,073.90x = 30,461.31 × 12,002.36
  4. Step 4: Simplify right side
    22,073.90x = 365,607,456.39
  5. Step 5: Solve for x
    x = 365,607,456.39/22,073.90
  6. Step 6: Final answer
    x = 16,562.89

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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.