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Finding the Fourth Proportional to 20,969.44, 31,454.10 and 6,178.34

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Solution

The fourth proportional to 20,969.44, 31,454.10 and 6,178.34 is: 9,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.44 : 31,454.10 = 6,178.34 : x
  2. Step 2: Convert to fraction form
    20,969.44/31,454.10 = 6,178.34/x
  3. Step 3: Cross multiply
    20,969.44x = 31,454.10 × 6,178.34
  4. Step 4: Simplify right side
    20,969.44x = 194,334,124.19
  5. Step 5: Solve for x
    x = 194,334,124.19/20,969.44
  6. Step 6: Final answer
    x = 9,267.49

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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.