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Finding the Fourth Proportional to 31,288.26, 43,177.78 and 18,713

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Solution

The fourth proportional to 31,288.26, 43,177.78 and 18,713 is: 25,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.26 : 43,177.78 = 18,713 : x
  2. Step 2: Convert to fraction form
    31,288.26/43,177.78 = 18,713/x
  3. Step 3: Cross multiply
    31,288.26x = 43,177.78 × 18,713
  4. Step 4: Simplify right side
    31,288.26x = 807,985,797.14
  5. Step 5: Solve for x
    x = 807,985,797.14/31,288.26
  6. Step 6: Final answer
    x = 25,823.93

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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.