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Finding the Fourth Proportional to 22,331.82, 30,818 and 12,261.30

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Solution

The fourth proportional to 22,331.82, 30,818 and 12,261.30 is: 16,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.82 : 30,818 = 12,261.30 : x
  2. Step 2: Convert to fraction form
    22,331.82/30,818 = 12,261.30/x
  3. Step 3: Cross multiply
    22,331.82x = 30,818 × 12,261.30
  4. Step 4: Simplify right side
    22,331.82x = 377,868,743.40
  5. Step 5: Solve for x
    x = 377,868,743.40/22,331.82
  6. Step 6: Final answer
    x = 16,920.64

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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.