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Finding the Fourth Proportional to 17,781.01, 24,537.74 and 9,823.23

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Solution

The fourth proportional to 17,781.01, 24,537.74 and 9,823.23 is: 13,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.01 : 24,537.74 = 9,823.23 : x
  2. Step 2: Convert to fraction form
    17,781.01/24,537.74 = 9,823.23/x
  3. Step 3: Cross multiply
    17,781.01x = 24,537.74 × 9,823.23
  4. Step 4: Simplify right side
    17,781.01x = 241,039,814.58
  5. Step 5: Solve for x
    x = 241,039,814.58/17,781.01
  6. Step 6: Final answer
    x = 13,556.03

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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.