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Finding the Fourth Proportional to 17,743.29, 24,485.73 and 9,785.68

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Solution

The fourth proportional to 17,743.29, 24,485.73 and 9,785.68 is: 13,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.29 : 24,485.73 = 9,785.68 : x
  2. Step 2: Convert to fraction form
    17,743.29/24,485.73 = 9,785.68/x
  3. Step 3: Cross multiply
    17,743.29x = 24,485.73 × 9,785.68
  4. Step 4: Simplify right side
    17,743.29x = 239,609,518.35
  5. Step 5: Solve for x
    x = 239,609,518.35/17,743.29
  6. Step 6: Final answer
    x = 13,504.23

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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.