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Finding the Fourth Proportional to 22,982.92, 31,718.34 and 13,553.32

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Solution

The fourth proportional to 22,982.92, 31,718.34 and 13,553.32 is: 18,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.92 : 31,718.34 = 13,553.32 : x
  2. Step 2: Convert to fraction form
    22,982.92/31,718.34 = 13,553.32/x
  3. Step 3: Cross multiply
    22,982.92x = 31,718.34 × 13,553.32
  4. Step 4: Simplify right side
    22,982.92x = 429,888,811.89
  5. Step 5: Solve for x
    x = 429,888,811.89/22,982.92
  6. Step 6: Final answer
    x = 18,704.71

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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.