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Finding the Fourth Proportional to 31,596.70, 43,603.65 and 17,256.16

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Solution

The fourth proportional to 31,596.70, 43,603.65 and 17,256.16 is: 23,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.70 : 43,603.65 = 17,256.16 : x
  2. Step 2: Convert to fraction form
    31,596.70/43,603.65 = 17,256.16/x
  3. Step 3: Cross multiply
    31,596.70x = 43,603.65 × 17,256.16
  4. Step 4: Simplify right side
    31,596.70x = 752,431,342.97
  5. Step 5: Solve for x
    x = 752,431,342.97/31,596.70
  6. Step 6: Final answer
    x = 23,813.61

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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.