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Finding the Fourth Proportional to 13,188.57, 18,200.20 and 7,220.24

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Solution

The fourth proportional to 13,188.57, 18,200.20 and 7,220.24 is: 9,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.57 : 18,200.20 = 7,220.24 : x
  2. Step 2: Convert to fraction form
    13,188.57/18,200.20 = 7,220.24/x
  3. Step 3: Cross multiply
    13,188.57x = 18,200.20 × 7,220.24
  4. Step 4: Simplify right side
    13,188.57x = 131,409,812.05
  5. Step 5: Solve for x
    x = 131,409,812.05/13,188.57
  6. Step 6: Final answer
    x = 9,963.92

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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.