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Finding the Fourth Proportional to 15,193.12, 20,969.76 and 8,906.80

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Solution

The fourth proportional to 15,193.12, 20,969.76 and 8,906.80 is: 12,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.12 : 20,969.76 = 8,906.80 : x
  2. Step 2: Convert to fraction form
    15,193.12/20,969.76 = 8,906.80/x
  3. Step 3: Cross multiply
    15,193.12x = 20,969.76 × 8,906.80
  4. Step 4: Simplify right side
    15,193.12x = 186,773,458.37
  5. Step 5: Solve for x
    x = 186,773,458.37/15,193.12
  6. Step 6: Final answer
    x = 12,293.29

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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.