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Finding the Fourth Proportional to 17,781.22, 24,537.37 and 9,823.26

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Solution

The fourth proportional to 17,781.22, 24,537.37 and 9,823.26 is: 13,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.22 : 24,537.37 = 9,823.26 : x
  2. Step 2: Convert to fraction form
    17,781.22/24,537.37 = 9,823.26/x
  3. Step 3: Cross multiply
    17,781.22x = 24,537.37 × 9,823.26
  4. Step 4: Simplify right side
    17,781.22x = 241,036,965.23
  5. Step 5: Solve for x
    x = 241,036,965.23/17,781.22
  6. Step 6: Final answer
    x = 13,555.70

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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.