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Finding the Fourth Proportional to 14,180.98, 19,568.44 and 8,213.04

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Solution

The fourth proportional to 14,180.98, 19,568.44 and 8,213.04 is: 11,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.98 : 19,568.44 = 8,213.04 : x
  2. Step 2: Convert to fraction form
    14,180.98/19,568.44 = 8,213.04/x
  3. Step 3: Cross multiply
    14,180.98x = 19,568.44 × 8,213.04
  4. Step 4: Simplify right side
    14,180.98x = 160,716,380.46
  5. Step 5: Solve for x
    x = 160,716,380.46/14,180.98
  6. Step 6: Final answer
    x = 11,333.24

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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.