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Finding the Fourth Proportional to 17,771.58, 24,524.78 and 9,813.82

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Solution

The fourth proportional to 17,771.58, 24,524.78 and 9,813.82 is: 13,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.58 : 24,524.78 = 9,813.82 : x
  2. Step 2: Convert to fraction form
    17,771.58/24,524.78 = 9,813.82/x
  3. Step 3: Cross multiply
    17,771.58x = 24,524.78 × 9,813.82
  4. Step 4: Simplify right side
    17,771.58x = 240,681,776.46
  5. Step 5: Solve for x
    x = 240,681,776.46/17,771.58
  6. Step 6: Final answer
    x = 13,543.07

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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.