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Finding the Fourth Proportional to 17,770.85, 24,523.77 and 9,813.14

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Solution

The fourth proportional to 17,770.85, 24,523.77 and 9,813.14 is: 13,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.85 : 24,523.77 = 9,813.14 : x
  2. Step 2: Convert to fraction form
    17,770.85/24,523.77 = 9,813.14/x
  3. Step 3: Cross multiply
    17,770.85x = 24,523.77 × 9,813.14
  4. Step 4: Simplify right side
    17,770.85x = 240,655,065.72
  5. Step 5: Solve for x
    x = 240,655,065.72/17,770.85
  6. Step 6: Final answer
    x = 13,542.13

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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.