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Finding the Fourth Proportional to 17,635.28, 26,464.44 and 8,402

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Solution

The fourth proportional to 17,635.28, 26,464.44 and 8,402 is: 12,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.28 : 26,464.44 = 8,402 : x
  2. Step 2: Convert to fraction form
    17,635.28/26,464.44 = 8,402/x
  3. Step 3: Cross multiply
    17,635.28x = 26,464.44 × 8,402
  4. Step 4: Simplify right side
    17,635.28x = 222,354,224.88
  5. Step 5: Solve for x
    x = 222,354,224.88/17,635.28
  6. Step 6: Final answer
    x = 12,608.49

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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.