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Finding the Fourth Proportional to 13,197.87, 18,213.27 and 7,230.11

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Solution

The fourth proportional to 13,197.87, 18,213.27 and 7,230.11 is: 9,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.87 : 18,213.27 = 7,230.11 : x
  2. Step 2: Convert to fraction form
    13,197.87/18,213.27 = 7,230.11/x
  3. Step 3: Cross multiply
    13,197.87x = 18,213.27 × 7,230.11
  4. Step 4: Simplify right side
    13,197.87x = 131,683,854.49
  5. Step 5: Solve for x
    x = 131,683,854.49/13,197.87
  6. Step 6: Final answer
    x = 9,977.66

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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.