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Finding the Fourth Proportional to 22,471.92, 31,010.58 and 13,040.01

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Solution

The fourth proportional to 22,471.92, 31,010.58 and 13,040.01 is: 17,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.92 : 31,010.58 = 13,040.01 : x
  2. Step 2: Convert to fraction form
    22,471.92/31,010.58 = 13,040.01/x
  3. Step 3: Cross multiply
    22,471.92x = 31,010.58 × 13,040.01
  4. Step 4: Simplify right side
    22,471.92x = 404,378,273.31
  5. Step 5: Solve for x
    x = 404,378,273.31/22,471.92
  6. Step 6: Final answer
    x = 17,994.83

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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.