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Finding the Fourth Proportional to 17,627.07, 26,438 and 5,143.75

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Solution

The fourth proportional to 17,627.07, 26,438 and 5,143.75 is: 7,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.07 : 26,438 = 5,143.75 : x
  2. Step 2: Convert to fraction form
    17,627.07/26,438 = 5,143.75/x
  3. Step 3: Cross multiply
    17,627.07x = 26,438 × 5,143.75
  4. Step 4: Simplify right side
    17,627.07x = 135,990,462.50
  5. Step 5: Solve for x
    x = 135,990,462.50/17,627.07
  6. Step 6: Final answer
    x = 7,714.86

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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.