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Finding the Fourth Proportional to 14,649.41, 20,214.90 and 8,680.13

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Solution

The fourth proportional to 14,649.41, 20,214.90 and 8,680.13 is: 11,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.41 : 20,214.90 = 8,680.13 : x
  2. Step 2: Convert to fraction form
    14,649.41/20,214.90 = 8,680.13/x
  3. Step 3: Cross multiply
    14,649.41x = 20,214.90 × 8,680.13
  4. Step 4: Simplify right side
    14,649.41x = 175,467,959.94
  5. Step 5: Solve for x
    x = 175,467,959.94/14,649.41
  6. Step 6: Final answer
    x = 11,977.82

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