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Finding the Fourth Proportional to 17,849.85, 24,632.86 and 9,892.21

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Solution

The fourth proportional to 17,849.85, 24,632.86 and 9,892.21 is: 13,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849.85 : 24,632.86 = 9,892.21 : x
  2. Step 2: Convert to fraction form
    17,849.85/24,632.86 = 9,892.21/x
  3. Step 3: Cross multiply
    17,849.85x = 24,632.86 × 9,892.21
  4. Step 4: Simplify right side
    17,849.85x = 243,673,424.02
  5. Step 5: Solve for x
    x = 243,673,424.02/17,849.85
  6. Step 6: Final answer
    x = 13,651.29

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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.