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Finding the Fourth Proportional to 13,188.41, 18,200.12 and 8,151.49

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Solution

The fourth proportional to 13,188.41, 18,200.12 and 8,151.49 is: 11,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.41 : 18,200.12 = 8,151.49 : x
  2. Step 2: Convert to fraction form
    13,188.41/18,200.12 = 8,151.49/x
  3. Step 3: Cross multiply
    13,188.41x = 18,200.12 × 8,151.49
  4. Step 4: Simplify right side
    13,188.41x = 148,358,096.18
  5. Step 5: Solve for x
    x = 148,358,096.18/13,188.41
  6. Step 6: Final answer
    x = 11,249.13

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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.