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Finding the Fourth Proportional to 15,882.74, 23,828.04 and 11,211.90

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Solution

The fourth proportional to 15,882.74, 23,828.04 and 11,211.90 is: 16,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.74 : 23,828.04 = 11,211.90 : x
  2. Step 2: Convert to fraction form
    15,882.74/23,828.04 = 11,211.90/x
  3. Step 3: Cross multiply
    15,882.74x = 23,828.04 × 11,211.90
  4. Step 4: Simplify right side
    15,882.74x = 267,157,601.68
  5. Step 5: Solve for x
    x = 267,157,601.68/15,882.74
  6. Step 6: Final answer
    x = 16,820.62

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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.