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Finding the Fourth Proportional to 17,739.37, 24,479.82 and 9,781.60

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Solution

The fourth proportional to 17,739.37, 24,479.82 and 9,781.60 is: 13,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739.37 : 24,479.82 = 9,781.60 : x
  2. Step 2: Convert to fraction form
    17,739.37/24,479.82 = 9,781.60/x
  3. Step 3: Cross multiply
    17,739.37x = 24,479.82 × 9,781.60
  4. Step 4: Simplify right side
    17,739.37x = 239,451,807.31
  5. Step 5: Solve for x
    x = 239,451,807.31/17,739.37
  6. Step 6: Final answer
    x = 13,498.33

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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.