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Finding the Fourth Proportional to 17,800.22, 24,564.82 and 9,842.96

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Solution

The fourth proportional to 17,800.22, 24,564.82 and 9,842.96 is: 13,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.22 : 24,564.82 = 9,842.96 : x
  2. Step 2: Convert to fraction form
    17,800.22/24,564.82 = 9,842.96/x
  3. Step 3: Cross multiply
    17,800.22x = 24,564.82 × 9,842.96
  4. Step 4: Simplify right side
    17,800.22x = 241,790,540.67
  5. Step 5: Solve for x
    x = 241,790,540.67/17,800.22
  6. Step 6: Final answer
    x = 13,583.57

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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.