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Finding the Fourth Proportional to 22,471.31, 31,010.57 and 12,400.12

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Solution

The fourth proportional to 22,471.31, 31,010.57 and 12,400.12 is: 17,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.31 : 31,010.57 = 12,400.12 : x
  2. Step 2: Convert to fraction form
    22,471.31/31,010.57 = 12,400.12/x
  3. Step 3: Cross multiply
    22,471.31x = 31,010.57 × 12,400.12
  4. Step 4: Simplify right side
    22,471.31x = 384,534,789.27
  5. Step 5: Solve for x
    x = 384,534,789.27/22,471.31
  6. Step 6: Final answer
    x = 17,112.26

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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.