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Finding the Fourth Proportional to 22,649.65, 33,941.63 and 12,767.85

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Solution

The fourth proportional to 22,649.65, 33,941.63 and 12,767.85 is: 19,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.65 : 33,941.63 = 12,767.85 : x
  2. Step 2: Convert to fraction form
    22,649.65/33,941.63 = 12,767.85/x
  3. Step 3: Cross multiply
    22,649.65x = 33,941.63 × 12,767.85
  4. Step 4: Simplify right side
    22,649.65x = 433,361,672.52
  5. Step 5: Solve for x
    x = 433,361,672.52/22,649.65
  6. Step 6: Final answer
    x = 19,133.26

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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.