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Finding the Fourth Proportional to 17,944.20, 24,762.75 and 9,986.42

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Solution

The fourth proportional to 17,944.20, 24,762.75 and 9,986.42 is: 13,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944.20 : 24,762.75 = 9,986.42 : x
  2. Step 2: Convert to fraction form
    17,944.20/24,762.75 = 9,986.42/x
  3. Step 3: Cross multiply
    17,944.20x = 24,762.75 × 9,986.42
  4. Step 4: Simplify right side
    17,944.20x = 247,291,361.74
  5. Step 5: Solve for x
    x = 247,291,361.74/17,944.20
  6. Step 6: Final answer
    x = 13,781.13

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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.