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Finding the Fourth Proportional to 22,970.92, 34,431.52 and 11,874.64

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Solution

The fourth proportional to 22,970.92, 34,431.52 and 11,874.64 is: 17,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.92 : 34,431.52 = 11,874.64 : x
  2. Step 2: Convert to fraction form
    22,970.92/34,431.52 = 11,874.64/x
  3. Step 3: Cross multiply
    22,970.92x = 34,431.52 × 11,874.64
  4. Step 4: Simplify right side
    22,970.92x = 408,861,904.65
  5. Step 5: Solve for x
    x = 408,861,904.65/22,970.92
  6. Step 6: Final answer
    x = 17,799.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.