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Finding the Fourth Proportional to 17,640.86, 24,343.54 and 9,682.94

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Solution

The fourth proportional to 17,640.86, 24,343.54 and 9,682.94 is: 13,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.86 : 24,343.54 = 9,682.94 : x
  2. Step 2: Convert to fraction form
    17,640.86/24,343.54 = 9,682.94/x
  3. Step 3: Cross multiply
    17,640.86x = 24,343.54 × 9,682.94
  4. Step 4: Simplify right side
    17,640.86x = 235,717,073.86
  5. Step 5: Solve for x
    x = 235,717,073.86/17,640.86
  6. Step 6: Final answer
    x = 13,362.00

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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.