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Finding the Fourth Proportional to 17,742.92, 24,485.39 and 9,785.42

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Solution

The fourth proportional to 17,742.92, 24,485.39 and 9,785.42 is: 13,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.92 : 24,485.39 = 9,785.42 : x
  2. Step 2: Convert to fraction form
    17,742.92/24,485.39 = 9,785.42/x
  3. Step 3: Cross multiply
    17,742.92x = 24,485.39 × 9,785.42
  4. Step 4: Simplify right side
    17,742.92x = 239,599,653.66
  5. Step 5: Solve for x
    x = 239,599,653.66/17,742.92
  6. Step 6: Final answer
    x = 13,503.96

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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.