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Finding the Fourth Proportional to 12,649.77, 18,972.98 and 3,764.94

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Solution

The fourth proportional to 12,649.77, 18,972.98 and 3,764.94 is: 5,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.77 : 18,972.98 = 3,764.94 : x
  2. Step 2: Convert to fraction form
    12,649.77/18,972.98 = 3,764.94/x
  3. Step 3: Cross multiply
    12,649.77x = 18,972.98 × 3,764.94
  4. Step 4: Simplify right side
    12,649.77x = 71,432,112.50
  5. Step 5: Solve for x
    x = 71,432,112.50/12,649.77
  6. Step 6: Final answer
    x = 5,646.91

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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.