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Finding the Fourth Proportional to 17,892.48, 26,832 and 6,202.88

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Solution

The fourth proportional to 17,892.48, 26,832 and 6,202.88 is: 9,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892.48 : 26,832 = 6,202.88 : x
  2. Step 2: Convert to fraction form
    17,892.48/26,832 = 6,202.88/x
  3. Step 3: Cross multiply
    17,892.48x = 26,832 × 6,202.88
  4. Step 4: Simplify right side
    17,892.48x = 166,435,676.16
  5. Step 5: Solve for x
    x = 166,435,676.16/17,892.48
  6. Step 6: Final answer
    x = 9,301.99

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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.