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Finding the Fourth Proportional to 21,969.44, 32,950.80 and 7,178.48

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Solution

The fourth proportional to 21,969.44, 32,950.80 and 7,178.48 is: 10,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.44 : 32,950.80 = 7,178.48 : x
  2. Step 2: Convert to fraction form
    21,969.44/32,950.80 = 7,178.48/x
  3. Step 3: Cross multiply
    21,969.44x = 32,950.80 × 7,178.48
  4. Step 4: Simplify right side
    21,969.44x = 236,536,658.78
  5. Step 5: Solve for x
    x = 236,536,658.78/21,969.44
  6. Step 6: Final answer
    x = 10,766.62

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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.