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Finding the Fourth Proportional to 17,213.64, 25,817.52 and 7,851.48

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Solution

The fourth proportional to 17,213.64, 25,817.52 and 7,851.48 is: 11,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.64 : 25,817.52 = 7,851.48 : x
  2. Step 2: Convert to fraction form
    17,213.64/25,817.52 = 7,851.48/x
  3. Step 3: Cross multiply
    17,213.64x = 25,817.52 × 7,851.48
  4. Step 4: Simplify right side
    17,213.64x = 202,705,741.93
  5. Step 5: Solve for x
    x = 202,705,741.93/17,213.64
  6. Step 6: Final answer
    x = 11,775.88

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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.