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Finding the Fourth Proportional to 17,771.96, 24,525.17 and 9,814.12

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Solution

The fourth proportional to 17,771.96, 24,525.17 and 9,814.12 is: 13,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.96 : 24,525.17 = 9,814.12 : x
  2. Step 2: Convert to fraction form
    17,771.96/24,525.17 = 9,814.12/x
  3. Step 3: Cross multiply
    17,771.96x = 24,525.17 × 9,814.12
  4. Step 4: Simplify right side
    17,771.96x = 240,692,961.40
  5. Step 5: Solve for x
    x = 240,692,961.40/17,771.96
  6. Step 6: Final answer
    x = 13,543.41

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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.