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Finding the Fourth Proportional to 17,767.72, 24,519.49 and 9,809.96

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Solution

The fourth proportional to 17,767.72, 24,519.49 and 9,809.96 is: 13,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.72 : 24,519.49 = 9,809.96 : x
  2. Step 2: Convert to fraction form
    17,767.72/24,519.49 = 9,809.96/x
  3. Step 3: Cross multiply
    17,767.72x = 24,519.49 × 9,809.96
  4. Step 4: Simplify right side
    17,767.72x = 240,535,216.12
  5. Step 5: Solve for x
    x = 240,535,216.12/17,767.72
  6. Step 6: Final answer
    x = 13,537.76

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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.