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Finding the Fourth Proportional to 13,197.13, 18,197.09 and 8,410.67

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Solution

The fourth proportional to 13,197.13, 18,197.09 and 8,410.67 is: 11,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.13 : 18,197.09 = 8,410.67 : x
  2. Step 2: Convert to fraction form
    13,197.13/18,197.09 = 8,410.67/x
  3. Step 3: Cross multiply
    13,197.13x = 18,197.09 × 8,410.67
  4. Step 4: Simplify right side
    13,197.13x = 153,049,685.69
  5. Step 5: Solve for x
    x = 153,049,685.69/13,197.13
  6. Step 6: Final answer
    x = 11,597.20

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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.