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Finding the Fourth Proportional to 22,585.50, 31,167.99 and 12,649.50

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Solution

The fourth proportional to 22,585.50, 31,167.99 and 12,649.50 is: 17,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.50 : 31,167.99 = 12,649.50 : x
  2. Step 2: Convert to fraction form
    22,585.50/31,167.99 = 12,649.50/x
  3. Step 3: Cross multiply
    22,585.50x = 31,167.99 × 12,649.50
  4. Step 4: Simplify right side
    22,585.50x = 394,259,489.51
  5. Step 5: Solve for x
    x = 394,259,489.51/22,585.50
  6. Step 6: Final answer
    x = 17,456.31

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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.