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Finding the Fourth Proportional to 17,254, 25,879.38 and 5,567.32

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Solution

The fourth proportional to 17,254, 25,879.38 and 5,567.32 is: 8,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254 : 25,879.38 = 5,567.32 : x
  2. Step 2: Convert to fraction form
    17,254/25,879.38 = 5,567.32/x
  3. Step 3: Cross multiply
    17,254x = 25,879.38 × 5,567.32
  4. Step 4: Simplify right side
    17,254x = 144,078,789.86
  5. Step 5: Solve for x
    x = 144,078,789.86/17,254
  6. Step 6: Final answer
    x = 8,350.46

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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.