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Finding the Fourth Proportional to 17,524.49, 24,184.20 and 9,566.77

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Solution

The fourth proportional to 17,524.49, 24,184.20 and 9,566.77 is: 13,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.49 : 24,184.20 = 9,566.77 : x
  2. Step 2: Convert to fraction form
    17,524.49/24,184.20 = 9,566.77/x
  3. Step 3: Cross multiply
    17,524.49x = 24,184.20 × 9,566.77
  4. Step 4: Simplify right side
    17,524.49x = 231,364,699.79
  5. Step 5: Solve for x
    x = 231,364,699.79/17,524.49
  6. Step 6: Final answer
    x = 13,202.37

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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.