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Finding the Fourth Proportional to 23,105.80, 31,857.07 and 19,282.91

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Solution

The fourth proportional to 23,105.80, 31,857.07 and 19,282.91 is: 26,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.80 : 31,857.07 = 19,282.91 : x
  2. Step 2: Convert to fraction form
    23,105.80/31,857.07 = 19,282.91/x
  3. Step 3: Cross multiply
    23,105.80x = 31,857.07 × 19,282.91
  4. Step 4: Simplify right side
    23,105.80x = 614,296,917.26
  5. Step 5: Solve for x
    x = 614,296,917.26/23,105.80
  6. Step 6: Final answer
    x = 26,586.27

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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.