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Finding the Fourth Proportional to 17,834.26, 24,612.24 and 9,876.82

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Solution

The fourth proportional to 17,834.26, 24,612.24 and 9,876.82 is: 13,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.26 : 24,612.24 = 9,876.82 : x
  2. Step 2: Convert to fraction form
    17,834.26/24,612.24 = 9,876.82/x
  3. Step 3: Cross multiply
    17,834.26x = 24,612.24 × 9,876.82
  4. Step 4: Simplify right side
    17,834.26x = 243,090,664.28
  5. Step 5: Solve for x
    x = 243,090,664.28/17,834.26
  6. Step 6: Final answer
    x = 13,630.54

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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.