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Finding the Fourth Proportional to 13,906.56, 19,183.32 and 8,597.64

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Solution

The fourth proportional to 13,906.56, 19,183.32 and 8,597.64 is: 11,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.56 : 19,183.32 = 8,597.64 : x
  2. Step 2: Convert to fraction form
    13,906.56/19,183.32 = 8,597.64/x
  3. Step 3: Cross multiply
    13,906.56x = 19,183.32 × 8,597.64
  4. Step 4: Simplify right side
    13,906.56x = 164,931,279.36
  5. Step 5: Solve for x
    x = 164,931,279.36/13,906.56
  6. Step 6: Final answer
    x = 11,859.96

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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.