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Finding the Fourth Proportional to 24,194.70, 36,283.38 and 8,609.22

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Solution

The fourth proportional to 24,194.70, 36,283.38 and 8,609.22 is: 12,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.70 : 36,283.38 = 8,609.22 : x
  2. Step 2: Convert to fraction form
    24,194.70/36,283.38 = 8,609.22/x
  3. Step 3: Cross multiply
    24,194.70x = 36,283.38 × 8,609.22
  4. Step 4: Simplify right side
    24,194.70x = 312,371,600.76
  5. Step 5: Solve for x
    x = 312,371,600.76/24,194.70
  6. Step 6: Final answer
    x = 12,910.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.