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Finding the Fourth Proportional to 17,654.22, 26,468.73 and 8,289

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Solution

The fourth proportional to 17,654.22, 26,468.73 and 8,289 is: 12,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.22 : 26,468.73 = 8,289 : x
  2. Step 2: Convert to fraction form
    17,654.22/26,468.73 = 8,289/x
  3. Step 3: Cross multiply
    17,654.22x = 26,468.73 × 8,289
  4. Step 4: Simplify right side
    17,654.22x = 219,399,302.97
  5. Step 5: Solve for x
    x = 219,399,302.97/17,654.22
  6. Step 6: Final answer
    x = 12,427.58

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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.