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Finding the Fourth Proportional to 22,231.34, 30,679.30 and 12,159.84

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Solution

The fourth proportional to 22,231.34, 30,679.30 and 12,159.84 is: 16,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.34 : 30,679.30 = 12,159.84 : x
  2. Step 2: Convert to fraction form
    22,231.34/30,679.30 = 12,159.84/x
  3. Step 3: Cross multiply
    22,231.34x = 30,679.30 × 12,159.84
  4. Step 4: Simplify right side
    22,231.34x = 373,055,379.31
  5. Step 5: Solve for x
    x = 373,055,379.31/22,231.34
  6. Step 6: Final answer
    x = 16,780.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.