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Finding the Fourth Proportional to 17,023.50, 25,535.07 and 6,642.54

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Solution

The fourth proportional to 17,023.50, 25,535.07 and 6,642.54 is: 9,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.50 : 25,535.07 = 6,642.54 : x
  2. Step 2: Convert to fraction form
    17,023.50/25,535.07 = 6,642.54/x
  3. Step 3: Cross multiply
    17,023.50x = 25,535.07 × 6,642.54
  4. Step 4: Simplify right side
    17,023.50x = 169,617,723.88
  5. Step 5: Solve for x
    x = 169,617,723.88/17,023.50
  6. Step 6: Final answer
    x = 9,963.74

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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.