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Finding the Fourth Proportional to 17,844.90, 24,626.16 and 9,887.28

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Solution

The fourth proportional to 17,844.90, 24,626.16 and 9,887.28 is: 13,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,844.90 : 24,626.16 = 9,887.28 : x
  2. Step 2: Convert to fraction form
    17,844.90/24,626.16 = 9,887.28/x
  3. Step 3: Cross multiply
    17,844.90x = 24,626.16 × 9,887.28
  4. Step 4: Simplify right side
    17,844.90x = 243,485,739.24
  5. Step 5: Solve for x
    x = 243,485,739.24/17,844.90
  6. Step 6: Final answer
    x = 13,644.56

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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.