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Finding the Fourth Proportional to 22,731.84, 31,369.91 and 12,661.16

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Solution

The fourth proportional to 22,731.84, 31,369.91 and 12,661.16 is: 17,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.84 : 31,369.91 = 12,661.16 : x
  2. Step 2: Convert to fraction form
    22,731.84/31,369.91 = 12,661.16/x
  3. Step 3: Cross multiply
    22,731.84x = 31,369.91 × 12,661.16
  4. Step 4: Simplify right side
    22,731.84x = 397,179,229.54
  5. Step 5: Solve for x
    x = 397,179,229.54/22,731.84
  6. Step 6: Final answer
    x = 17,472.37

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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.