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Finding the Fourth Proportional to 17,851.97, 24,636.03 and 9,785.09

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Solution

The fourth proportional to 17,851.97, 24,636.03 and 9,785.09 is: 13,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.97 : 24,636.03 = 9,785.09 : x
  2. Step 2: Convert to fraction form
    17,851.97/24,636.03 = 9,785.09/x
  3. Step 3: Cross multiply
    17,851.97x = 24,636.03 × 9,785.09
  4. Step 4: Simplify right side
    17,851.97x = 241,065,702.01
  5. Step 5: Solve for x
    x = 241,065,702.01/17,851.97
  6. Step 6: Final answer
    x = 13,503.59

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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.