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Finding the Fourth Proportional to 22,728.24, 31,364.64 and 13,164.48

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Solution

The fourth proportional to 22,728.24, 31,364.64 and 13,164.48 is: 18,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.24 : 31,364.64 = 13,164.48 : x
  2. Step 2: Convert to fraction form
    22,728.24/31,364.64 = 13,164.48/x
  3. Step 3: Cross multiply
    22,728.24x = 31,364.64 × 13,164.48
  4. Step 4: Simplify right side
    22,728.24x = 412,899,175.99
  5. Step 5: Solve for x
    x = 412,899,175.99/22,728.24
  6. Step 6: Final answer
    x = 18,166.79

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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.