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Finding the Fourth Proportional to 17,781.34, 24,538.26 and 9,823.58

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Solution

The fourth proportional to 17,781.34, 24,538.26 and 9,823.58 is: 13,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.34 : 24,538.26 = 9,823.58 : x
  2. Step 2: Convert to fraction form
    17,781.34/24,538.26 = 9,823.58/x
  3. Step 3: Cross multiply
    17,781.34x = 24,538.26 × 9,823.58
  4. Step 4: Simplify right side
    17,781.34x = 241,053,560.17
  5. Step 5: Solve for x
    x = 241,053,560.17/17,781.34
  6. Step 6: Final answer
    x = 13,556.55

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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.