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Finding the Fourth Proportional to 15,111.82, 20,855.36 and 8,739.69

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Solution

The fourth proportional to 15,111.82, 20,855.36 and 8,739.69 is: 12,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.82 : 20,855.36 = 8,739.69 : x
  2. Step 2: Convert to fraction form
    15,111.82/20,855.36 = 8,739.69/x
  3. Step 3: Cross multiply
    15,111.82x = 20,855.36 × 8,739.69
  4. Step 4: Simplify right side
    15,111.82x = 182,269,381.24
  5. Step 5: Solve for x
    x = 182,269,381.24/15,111.82
  6. Step 6: Final answer
    x = 12,061.38

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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.