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Finding the Fourth Proportional to 22,544.82, 31,112.24 and 12,473.01

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Solution

The fourth proportional to 22,544.82, 31,112.24 and 12,473.01 is: 17,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.82 : 31,112.24 = 12,473.01 : x
  2. Step 2: Convert to fraction form
    22,544.82/31,112.24 = 12,473.01/x
  3. Step 3: Cross multiply
    22,544.82x = 31,112.24 × 12,473.01
  4. Step 4: Simplify right side
    22,544.82x = 388,063,218.28
  5. Step 5: Solve for x
    x = 388,063,218.28/22,544.82
  6. Step 6: Final answer
    x = 17,212.97

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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.