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Finding the Fourth Proportional to 17,217.50, 25,822.85 and 4,734.32

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Solution

The fourth proportional to 17,217.50, 25,822.85 and 4,734.32 is: 7,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217.50 : 25,822.85 = 4,734.32 : x
  2. Step 2: Convert to fraction form
    17,217.50/25,822.85 = 4,734.32/x
  3. Step 3: Cross multiply
    17,217.50x = 25,822.85 × 4,734.32
  4. Step 4: Simplify right side
    17,217.50x = 122,253,482.43
  5. Step 5: Solve for x
    x = 122,253,482.43/17,217.50
  6. Step 6: Final answer
    x = 7,100.54

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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.