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Finding the Fourth Proportional to 20,178.68, 30,276.90 and 7,040.48

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Solution

The fourth proportional to 20,178.68, 30,276.90 and 7,040.48 is: 10,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.68 : 30,276.90 = 7,040.48 : x
  2. Step 2: Convert to fraction form
    20,178.68/30,276.90 = 7,040.48/x
  3. Step 3: Cross multiply
    20,178.68x = 30,276.90 × 7,040.48
  4. Step 4: Simplify right side
    20,178.68x = 213,163,908.91
  5. Step 5: Solve for x
    x = 213,163,908.91/20,178.68
  6. Step 6: Final answer
    x = 10,563.82

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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.