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Finding the Fourth Proportional to 14,617.64, 20,173.52 and 8,243.90

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Solution

The fourth proportional to 14,617.64, 20,173.52 and 8,243.90 is: 11,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.64 : 20,173.52 = 8,243.90 : x
  2. Step 2: Convert to fraction form
    14,617.64/20,173.52 = 8,243.90/x
  3. Step 3: Cross multiply
    14,617.64x = 20,173.52 × 8,243.90
  4. Step 4: Simplify right side
    14,617.64x = 166,308,339.44
  5. Step 5: Solve for x
    x = 166,308,339.44/14,617.64
  6. Step 6: Final answer
    x = 11,377.24

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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.