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Finding the Fourth Proportional to 22,728.34, 31,365.07 and 12,657.66

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Solution

The fourth proportional to 22,728.34, 31,365.07 and 12,657.66 is: 17,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.34 : 31,365.07 = 12,657.66 : x
  2. Step 2: Convert to fraction form
    22,728.34/31,365.07 = 12,657.66/x
  3. Step 3: Cross multiply
    22,728.34x = 31,365.07 × 12,657.66
  4. Step 4: Simplify right side
    22,728.34x = 397,008,171.82
  5. Step 5: Solve for x
    x = 397,008,171.82/22,728.34
  6. Step 6: Final answer
    x = 17,467.54

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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.