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Finding the Fourth Proportional to 17,771.19, 24,524.25 and 9,813.96

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Solution

The fourth proportional to 17,771.19, 24,524.25 and 9,813.96 is: 13,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.19 : 24,524.25 = 9,813.96 : x
  2. Step 2: Convert to fraction form
    17,771.19/24,524.25 = 9,813.96/x
  3. Step 3: Cross multiply
    17,771.19x = 24,524.25 × 9,813.96
  4. Step 4: Simplify right side
    17,771.19x = 240,679,885.91
  5. Step 5: Solve for x
    x = 240,679,885.91/17,771.19
  6. Step 6: Final answer
    x = 13,543.26

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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.