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Finding the Fourth Proportional to 17,562.72, 26,331.73 and 6,468

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Solution

The fourth proportional to 17,562.72, 26,331.73 and 6,468 is: 9,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562.72 : 26,331.73 = 6,468 : x
  2. Step 2: Convert to fraction form
    17,562.72/26,331.73 = 6,468/x
  3. Step 3: Cross multiply
    17,562.72x = 26,331.73 × 6,468
  4. Step 4: Simplify right side
    17,562.72x = 170,313,629.64
  5. Step 5: Solve for x
    x = 170,313,629.64/17,562.72
  6. Step 6: Final answer
    x = 9,697.45

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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.