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Finding the Fourth Proportional to 22,546.73, 31,127.01 and 13,596.50

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Solution

The fourth proportional to 22,546.73, 31,127.01 and 13,596.50 is: 18,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.73 : 31,127.01 = 13,596.50 : x
  2. Step 2: Convert to fraction form
    22,546.73/31,127.01 = 13,596.50/x
  3. Step 3: Cross multiply
    22,546.73x = 31,127.01 × 13,596.50
  4. Step 4: Simplify right side
    22,546.73x = 423,218,391.47
  5. Step 5: Solve for x
    x = 423,218,391.47/22,546.73
  6. Step 6: Final answer
    x = 18,770.72

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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.