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Finding the Fourth Proportional to 17,782.72, 24,538.48 and 11,398.03

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Solution

The fourth proportional to 17,782.72, 24,538.48 and 11,398.03 is: 15,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.72 : 24,538.48 = 11,398.03 : x
  2. Step 2: Convert to fraction form
    17,782.72/24,538.48 = 11,398.03/x
  3. Step 3: Cross multiply
    17,782.72x = 24,538.48 × 11,398.03
  4. Step 4: Simplify right side
    17,782.72x = 279,690,331.19
  5. Step 5: Solve for x
    x = 279,690,331.19/17,782.72
  6. Step 6: Final answer
    x = 15,728.21

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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.