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Finding the Fourth Proportional to 13,189.41, 18,200.68 and 7,219.93

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Solution

The fourth proportional to 13,189.41, 18,200.68 and 7,219.93 is: 9,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.41 : 18,200.68 = 7,219.93 : x
  2. Step 2: Convert to fraction form
    13,189.41/18,200.68 = 7,219.93/x
  3. Step 3: Cross multiply
    13,189.41x = 18,200.68 × 7,219.93
  4. Step 4: Simplify right side
    13,189.41x = 131,407,635.55
  5. Step 5: Solve for x
    x = 131,407,635.55/13,189.41
  6. Step 6: Final answer
    x = 9,963.12

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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.