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Finding the Fourth Proportional to 22,586.50, 31,169.37 and 12,650.50

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Solution

The fourth proportional to 22,586.50, 31,169.37 and 12,650.50 is: 17,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.50 : 31,169.37 = 12,650.50 : x
  2. Step 2: Convert to fraction form
    22,586.50/31,169.37 = 12,650.50/x
  3. Step 3: Cross multiply
    22,586.50x = 31,169.37 × 12,650.50
  4. Step 4: Simplify right side
    22,586.50x = 394,308,115.19
  5. Step 5: Solve for x
    x = 394,308,115.19/22,586.50
  6. Step 6: Final answer
    x = 17,457.69

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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.