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Finding the Fourth Proportional to 22,584.98, 31,169.58 and 13,025.24

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Solution

The fourth proportional to 22,584.98, 31,169.58 and 13,025.24 is: 17,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.98 : 31,169.58 = 13,025.24 : x
  2. Step 2: Convert to fraction form
    22,584.98/31,169.58 = 13,025.24/x
  3. Step 3: Cross multiply
    22,584.98x = 31,169.58 × 13,025.24
  4. Step 4: Simplify right side
    22,584.98x = 405,991,260.20
  5. Step 5: Solve for x
    x = 405,991,260.20/22,584.98
  6. Step 6: Final answer
    x = 17,976.16

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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.