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Finding the Fourth Proportional to 22,302.73, 30,770.13 and 12,735.73

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Solution

The fourth proportional to 22,302.73, 30,770.13 and 12,735.73 is: 17,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.73 : 30,770.13 = 12,735.73 : x
  2. Step 2: Convert to fraction form
    22,302.73/30,770.13 = 12,735.73/x
  3. Step 3: Cross multiply
    22,302.73x = 30,770.13 × 12,735.73
  4. Step 4: Simplify right side
    22,302.73x = 391,880,067.74
  5. Step 5: Solve for x
    x = 391,880,067.74/22,302.73
  6. Step 6: Final answer
    x = 17,570.95

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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.