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Finding the Fourth Proportional to 17,264.22, 25,892.48 and 6,734.52

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Solution

The fourth proportional to 17,264.22, 25,892.48 and 6,734.52 is: 10,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.22 : 25,892.48 = 6,734.52 : x
  2. Step 2: Convert to fraction form
    17,264.22/25,892.48 = 6,734.52/x
  3. Step 3: Cross multiply
    17,264.22x = 25,892.48 × 6,734.52
  4. Step 4: Simplify right side
    17,264.22x = 174,373,390.74
  5. Step 5: Solve for x
    x = 174,373,390.74/17,264.22
  6. Step 6: Final answer
    x = 10,100.28

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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.