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Finding the Fourth Proportional to 15,186.34, 20,950 and 9,879.22

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Solution

The fourth proportional to 15,186.34, 20,950 and 9,879.22 is: 13,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.34 : 20,950 = 9,879.22 : x
  2. Step 2: Convert to fraction form
    15,186.34/20,950 = 9,879.22/x
  3. Step 3: Cross multiply
    15,186.34x = 20,950 × 9,879.22
  4. Step 4: Simplify right side
    15,186.34x = 206,969,659
  5. Step 5: Solve for x
    x = 206,969,659/15,186.34
  6. Step 6: Final answer
    x = 13,628.67

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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.