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Finding the Fourth Proportional to 31,471.68, 43,430.94 and 17,324.76

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Solution

The fourth proportional to 31,471.68, 43,430.94 and 17,324.76 is: 23,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.68 : 43,430.94 = 17,324.76 : x
  2. Step 2: Convert to fraction form
    31,471.68/43,430.94 = 17,324.76/x
  3. Step 3: Cross multiply
    31,471.68x = 43,430.94 × 17,324.76
  4. Step 4: Simplify right side
    31,471.68x = 752,430,612.07
  5. Step 5: Solve for x
    x = 752,430,612.07/31,471.68
  6. Step 6: Final answer
    x = 23,908.18

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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.