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Finding the Fourth Proportional to 17,781.99, 24,537.87 and 9,823.59

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Solution

The fourth proportional to 17,781.99, 24,537.87 and 9,823.59 is: 13,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.99 : 24,537.87 = 9,823.59 : x
  2. Step 2: Convert to fraction form
    17,781.99/24,537.87 = 9,823.59/x
  3. Step 3: Cross multiply
    17,781.99x = 24,537.87 × 9,823.59
  4. Step 4: Simplify right side
    17,781.99x = 241,049,974.35
  5. Step 5: Solve for x
    x = 241,049,974.35/17,781.99
  6. Step 6: Final answer
    x = 13,555.85

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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.