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Finding the Fourth Proportional to 14,563.08, 20,098.89 and 8,274.24

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Solution

The fourth proportional to 14,563.08, 20,098.89 and 8,274.24 is: 11,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.08 : 20,098.89 = 8,274.24 : x
  2. Step 2: Convert to fraction form
    14,563.08/20,098.89 = 8,274.24/x
  3. Step 3: Cross multiply
    14,563.08x = 20,098.89 × 8,274.24
  4. Step 4: Simplify right side
    14,563.08x = 166,303,039.59
  5. Step 5: Solve for x
    x = 166,303,039.59/14,563.08
  6. Step 6: Final answer
    x = 11,419.50

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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.