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Finding the Fourth Proportional to 17,771.40, 24,524.42 and 9,813.56

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Solution

The fourth proportional to 17,771.40, 24,524.42 and 9,813.56 is: 13,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.40 : 24,524.42 = 9,813.56 : x
  2. Step 2: Convert to fraction form
    17,771.40/24,524.42 = 9,813.56/x
  3. Step 3: Cross multiply
    17,771.40x = 24,524.42 × 9,813.56
  4. Step 4: Simplify right side
    17,771.40x = 240,671,867.14
  5. Step 5: Solve for x
    x = 240,671,867.14/17,771.40
  6. Step 6: Final answer
    x = 13,542.65

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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.