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Finding the Fourth Proportional to 13,499.64, 18,626.26 and 8,193.46

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Solution

The fourth proportional to 13,499.64, 18,626.26 and 8,193.46 is: 11,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.64 : 18,626.26 = 8,193.46 : x
  2. Step 2: Convert to fraction form
    13,499.64/18,626.26 = 8,193.46/x
  3. Step 3: Cross multiply
    13,499.64x = 18,626.26 × 8,193.46
  4. Step 4: Simplify right side
    13,499.64x = 152,613,516.26
  5. Step 5: Solve for x
    x = 152,613,516.26/13,499.64
  6. Step 6: Final answer
    x = 11,305.01

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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.