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Finding the Fourth Proportional to 14,175.27, 19,563.84 and 8,208.81

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Solution

The fourth proportional to 14,175.27, 19,563.84 and 8,208.81 is: 11,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.27 : 19,563.84 = 8,208.81 : x
  2. Step 2: Convert to fraction form
    14,175.27/19,563.84 = 8,208.81/x
  3. Step 3: Cross multiply
    14,175.27x = 19,563.84 × 8,208.81
  4. Step 4: Simplify right side
    14,175.27x = 160,595,845.43
  5. Step 5: Solve for x
    x = 160,595,845.43/14,175.27
  6. Step 6: Final answer
    x = 11,329.30

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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.