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Finding the Fourth Proportional to 23,143.92, 34,717.50 and 11,454

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Solution

The fourth proportional to 23,143.92, 34,717.50 and 11,454 is: 17,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.92 : 34,717.50 = 11,454 : x
  2. Step 2: Convert to fraction form
    23,143.92/34,717.50 = 11,454/x
  3. Step 3: Cross multiply
    23,143.92x = 34,717.50 × 11,454
  4. Step 4: Simplify right side
    23,143.92x = 397,654,245
  5. Step 5: Solve for x
    x = 397,654,245/23,143.92
  6. Step 6: Final answer
    x = 17,181.80

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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.