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Finding the Fourth Proportional to 22,494.36, 31,034.70 and 14,546.64

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Solution

The fourth proportional to 22,494.36, 31,034.70 and 14,546.64 is: 20,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.36 : 31,034.70 = 14,546.64 : x
  2. Step 2: Convert to fraction form
    22,494.36/31,034.70 = 14,546.64/x
  3. Step 3: Cross multiply
    22,494.36x = 31,034.70 × 14,546.64
  4. Step 4: Simplify right side
    22,494.36x = 451,450,608.41
  5. Step 5: Solve for x
    x = 451,450,608.41/22,494.36
  6. Step 6: Final answer
    x = 20,069.50

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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.