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Finding the Fourth Proportional to 22,577.81, 33,872.21 and 6,782.81

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Solution

The fourth proportional to 22,577.81, 33,872.21 and 6,782.81 is: 10,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.81 : 33,872.21 = 6,782.81 : x
  2. Step 2: Convert to fraction form
    22,577.81/33,872.21 = 6,782.81/x
  3. Step 3: Cross multiply
    22,577.81x = 33,872.21 × 6,782.81
  4. Step 4: Simplify right side
    22,577.81x = 229,748,764.71
  5. Step 5: Solve for x
    x = 229,748,764.71/22,577.81
  6. Step 6: Final answer
    x = 10,175.87

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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.