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Finding the Fourth Proportional to 13,197.87, 18,206.15 and 8,160.48

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Solution

The fourth proportional to 13,197.87, 18,206.15 and 8,160.48 is: 11,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.87 : 18,206.15 = 8,160.48 : x
  2. Step 2: Convert to fraction form
    13,197.87/18,206.15 = 8,160.48/x
  3. Step 3: Cross multiply
    13,197.87x = 18,206.15 × 8,160.48
  4. Step 4: Simplify right side
    13,197.87x = 148,570,831.92
  5. Step 5: Solve for x
    x = 148,570,831.92/13,197.87
  6. Step 6: Final answer
    x = 11,257.19

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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.