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Finding the Fourth Proportional to 31,370.27, 43,290.42 and 17,223

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Solution

The fourth proportional to 31,370.27, 43,290.42 and 17,223 is: 23,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.27 : 43,290.42 = 17,223 : x
  2. Step 2: Convert to fraction form
    31,370.27/43,290.42 = 17,223/x
  3. Step 3: Cross multiply
    31,370.27x = 43,290.42 × 17,223
  4. Step 4: Simplify right side
    31,370.27x = 745,590,903.66
  5. Step 5: Solve for x
    x = 745,590,903.66/31,370.27
  6. Step 6: Final answer
    x = 23,767.44

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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.