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Finding the Fourth Proportional to 25,823.92, 35,644.80 and 22,324.72

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Solution

The fourth proportional to 25,823.92, 35,644.80 and 22,324.72 is: 30,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.92 : 35,644.80 = 22,324.72 : x
  2. Step 2: Convert to fraction form
    25,823.92/35,644.80 = 22,324.72/x
  3. Step 3: Cross multiply
    25,823.92x = 35,644.80 × 22,324.72
  4. Step 4: Simplify right side
    25,823.92x = 795,760,179.46
  5. Step 5: Solve for x
    x = 795,760,179.46/25,823.92
  6. Step 6: Final answer
    x = 30,814.85

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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.