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Finding the Fourth Proportional to 22,678.70, 31,295.22 and 12,606.80

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Solution

The fourth proportional to 22,678.70, 31,295.22 and 12,606.80 is: 17,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.70 : 31,295.22 = 12,606.80 : x
  2. Step 2: Convert to fraction form
    22,678.70/31,295.22 = 12,606.80/x
  3. Step 3: Cross multiply
    22,678.70x = 31,295.22 × 12,606.80
  4. Step 4: Simplify right side
    22,678.70x = 394,532,579.50
  5. Step 5: Solve for x
    x = 394,532,579.50/22,678.70
  6. Step 6: Final answer
    x = 17,396.61

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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.