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Finding the Fourth Proportional to 22,992.57, 31,729.73 and 12,921.44

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Solution

The fourth proportional to 22,992.57, 31,729.73 and 12,921.44 is: 17,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.57 : 31,729.73 = 12,921.44 : x
  2. Step 2: Convert to fraction form
    22,992.57/31,729.73 = 12,921.44/x
  3. Step 3: Cross multiply
    22,992.57x = 31,729.73 × 12,921.44
  4. Step 4: Simplify right side
    22,992.57x = 409,993,579.16
  5. Step 5: Solve for x
    x = 409,993,579.16/22,992.57
  6. Step 6: Final answer
    x = 17,831.57

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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.