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Finding the Fourth Proportional to 22,306.34, 30,783.15 and 12,234.17

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Solution

The fourth proportional to 22,306.34, 30,783.15 and 12,234.17 is: 16,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.34 : 30,783.15 = 12,234.17 : x
  2. Step 2: Convert to fraction form
    22,306.34/30,783.15 = 12,234.17/x
  3. Step 3: Cross multiply
    22,306.34x = 30,783.15 × 12,234.17
  4. Step 4: Simplify right side
    22,306.34x = 376,606,136.32
  5. Step 5: Solve for x
    x = 376,606,136.32/22,306.34
  6. Step 6: Final answer
    x = 16,883.37

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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.