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Finding the Fourth Proportional to 17,832.96, 24,610.41 and 10,759.86

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Solution

The fourth proportional to 17,832.96, 24,610.41 and 10,759.86 is: 14,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.96 : 24,610.41 = 10,759.86 : x
  2. Step 2: Convert to fraction form
    17,832.96/24,610.41 = 10,759.86/x
  3. Step 3: Cross multiply
    17,832.96x = 24,610.41 × 10,759.86
  4. Step 4: Simplify right side
    17,832.96x = 264,804,566.14
  5. Step 5: Solve for x
    x = 264,804,566.14/17,832.96
  6. Step 6: Final answer
    x = 14,849.17

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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.