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Finding the Fourth Proportional to 26,536.26, 39,804.42 and 9,896.04

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Solution

The fourth proportional to 26,536.26, 39,804.42 and 9,896.04 is: 14,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.26 : 39,804.42 = 9,896.04 : x
  2. Step 2: Convert to fraction form
    26,536.26/39,804.42 = 9,896.04/x
  3. Step 3: Cross multiply
    26,536.26x = 39,804.42 × 9,896.04
  4. Step 4: Simplify right side
    26,536.26x = 393,906,132.50
  5. Step 5: Solve for x
    x = 393,906,132.50/26,536.26
  6. Step 6: Final answer
    x = 14,844.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.