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Finding the Fourth Proportional to 14,879.50, 22,319.26 and 5,645.50

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Solution

The fourth proportional to 14,879.50, 22,319.26 and 5,645.50 is: 8,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,879.50 : 22,319.26 = 5,645.50 : x
  2. Step 2: Convert to fraction form
    14,879.50/22,319.26 = 5,645.50/x
  3. Step 3: Cross multiply
    14,879.50x = 22,319.26 × 5,645.50
  4. Step 4: Simplify right side
    14,879.50x = 126,003,382.33
  5. Step 5: Solve for x
    x = 126,003,382.33/14,879.50
  6. Step 6: Final answer
    x = 8,468.25

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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.