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Finding the Fourth Proportional to 17,727.78, 24,464.40 and 9,770.42

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Solution

The fourth proportional to 17,727.78, 24,464.40 and 9,770.42 is: 13,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.78 : 24,464.40 = 9,770.42 : x
  2. Step 2: Convert to fraction form
    17,727.78/24,464.40 = 9,770.42/x
  3. Step 3: Cross multiply
    17,727.78x = 24,464.40 × 9,770.42
  4. Step 4: Simplify right side
    17,727.78x = 239,027,463.05
  5. Step 5: Solve for x
    x = 239,027,463.05/17,727.78
  6. Step 6: Final answer
    x = 13,483.21

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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.