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Finding the Fourth Proportional to 26,362.26, 39,544.20 and 9,723.24

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Solution

The fourth proportional to 26,362.26, 39,544.20 and 9,723.24 is: 14,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,362.26 : 39,544.20 = 9,723.24 : x
  2. Step 2: Convert to fraction form
    26,362.26/39,544.20 = 9,723.24/x
  3. Step 3: Cross multiply
    26,362.26x = 39,544.20 × 9,723.24
  4. Step 4: Simplify right side
    26,362.26x = 384,497,747.21
  5. Step 5: Solve for x
    x = 384,497,747.21/26,362.26
  6. Step 6: Final answer
    x = 14,585.16

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