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Finding the Fourth Proportional to 17,965.22, 24,793.17 and 12,366.50

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Solution

The fourth proportional to 17,965.22, 24,793.17 and 12,366.50 is: 17,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.22 : 24,793.17 = 12,366.50 : x
  2. Step 2: Convert to fraction form
    17,965.22/24,793.17 = 12,366.50/x
  3. Step 3: Cross multiply
    17,965.22x = 24,793.17 × 12,366.50
  4. Step 4: Simplify right side
    17,965.22x = 306,604,736.81
  5. Step 5: Solve for x
    x = 306,604,736.81/17,965.22
  6. Step 6: Final answer
    x = 17,066.57

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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.