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Finding the Fourth Proportional to 22,915.92, 31,623.87 and 12,844.36

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Solution

The fourth proportional to 22,915.92, 31,623.87 and 12,844.36 is: 17,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.92 : 31,623.87 = 12,844.36 : x
  2. Step 2: Convert to fraction form
    22,915.92/31,623.87 = 12,844.36/x
  3. Step 3: Cross multiply
    22,915.92x = 31,623.87 × 12,844.36
  4. Step 4: Simplify right side
    22,915.92x = 406,188,370.87
  5. Step 5: Solve for x
    x = 406,188,370.87/22,915.92
  6. Step 6: Final answer
    x = 17,725.16

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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.