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Finding the Fourth Proportional to 17,077.50, 25,620.57 and 4,765.50

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Solution

The fourth proportional to 17,077.50, 25,620.57 and 4,765.50 is: 7,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.50 : 25,620.57 = 4,765.50 : x
  2. Step 2: Convert to fraction form
    17,077.50/25,620.57 = 4,765.50/x
  3. Step 3: Cross multiply
    17,077.50x = 25,620.57 × 4,765.50
  4. Step 4: Simplify right side
    17,077.50x = 122,094,826.34
  5. Step 5: Solve for x
    x = 122,094,826.34/17,077.50
  6. Step 6: Final answer
    x = 7,149.46

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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.