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Finding the Fourth Proportional to 17,770.27, 24,522.81 and 9,812.32

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Solution

The fourth proportional to 17,770.27, 24,522.81 and 9,812.32 is: 13,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.27 : 24,522.81 = 9,812.32 : x
  2. Step 2: Convert to fraction form
    17,770.27/24,522.81 = 9,812.32/x
  3. Step 3: Cross multiply
    17,770.27x = 24,522.81 × 9,812.32
  4. Step 4: Simplify right side
    17,770.27x = 240,625,659.02
  5. Step 5: Solve for x
    x = 240,625,659.02/17,770.27
  6. Step 6: Final answer
    x = 13,540.91

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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.