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Finding the Fourth Proportional to 13,697.81, 18,903.08 and 8,396.16

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Solution

The fourth proportional to 13,697.81, 18,903.08 and 8,396.16 is: 11,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.81 : 18,903.08 = 8,396.16 : x
  2. Step 2: Convert to fraction form
    13,697.81/18,903.08 = 8,396.16/x
  3. Step 3: Cross multiply
    13,697.81x = 18,903.08 × 8,396.16
  4. Step 4: Simplify right side
    13,697.81x = 158,713,305.16
  5. Step 5: Solve for x
    x = 158,713,305.16/13,697.81
  6. Step 6: Final answer
    x = 11,586.76

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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.