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Finding the Fourth Proportional to 14,649.96, 21,972.55 and 4,120.70

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Solution

The fourth proportional to 14,649.96, 21,972.55 and 4,120.70 is: 6,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.96 : 21,972.55 = 4,120.70 : x
  2. Step 2: Convert to fraction form
    14,649.96/21,972.55 = 4,120.70/x
  3. Step 3: Cross multiply
    14,649.96x = 21,972.55 × 4,120.70
  4. Step 4: Simplify right side
    14,649.96x = 90,542,286.79
  5. Step 5: Solve for x
    x = 90,542,286.79/14,649.96
  6. Step 6: Final answer
    x = 6,180.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.