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Finding the Fourth Proportional to 22,581.50, 31,162.50 and 12,645.50

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Solution

The fourth proportional to 22,581.50, 31,162.50 and 12,645.50 is: 17,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.50 : 31,162.50 = 12,645.50 : x
  2. Step 2: Convert to fraction form
    22,581.50/31,162.50 = 12,645.50/x
  3. Step 3: Cross multiply
    22,581.50x = 31,162.50 × 12,645.50
  4. Step 4: Simplify right side
    22,581.50x = 394,065,393.75
  5. Step 5: Solve for x
    x = 394,065,393.75/22,581.50
  6. Step 6: Final answer
    x = 17,450.81

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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.