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Finding the Fourth Proportional to 15,024.80, 20,733.38 and 8,309.98

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Solution

The fourth proportional to 15,024.80, 20,733.38 and 8,309.98 is: 11,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024.80 : 20,733.38 = 8,309.98 : x
  2. Step 2: Convert to fraction form
    15,024.80/20,733.38 = 8,309.98/x
  3. Step 3: Cross multiply
    15,024.80x = 20,733.38 × 8,309.98
  4. Step 4: Simplify right side
    15,024.80x = 172,293,879.75
  5. Step 5: Solve for x
    x = 172,293,879.75/15,024.80
  6. Step 6: Final answer
    x = 11,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.