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Finding the Fourth Proportional to 17,735.99, 24,475.37 and 9,778.05

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Solution

The fourth proportional to 17,735.99, 24,475.37 and 9,778.05 is: 13,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.99 : 24,475.37 = 9,778.05 : x
  2. Step 2: Convert to fraction form
    17,735.99/24,475.37 = 9,778.05/x
  3. Step 3: Cross multiply
    17,735.99x = 24,475.37 × 9,778.05
  4. Step 4: Simplify right side
    17,735.99x = 239,321,342.74
  5. Step 5: Solve for x
    x = 239,321,342.74/17,735.99
  6. Step 6: Final answer
    x = 13,493.55

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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.