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Finding the Fourth Proportional to 13,189.18, 19,770.10 and 8,247.48

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Solution

The fourth proportional to 13,189.18, 19,770.10 and 8,247.48 is: 12,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.18 : 19,770.10 = 8,247.48 : x
  2. Step 2: Convert to fraction form
    13,189.18/19,770.10 = 8,247.48/x
  3. Step 3: Cross multiply
    13,189.18x = 19,770.10 × 8,247.48
  4. Step 4: Simplify right side
    13,189.18x = 163,053,504.35
  5. Step 5: Solve for x
    x = 163,053,504.35/13,189.18
  6. Step 6: Final answer
    x = 12,362.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.