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Finding the Fourth Proportional to 20,178.98, 30,274.64 and 10,325.26

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Solution

The fourth proportional to 20,178.98, 30,274.64 and 10,325.26 is: 15,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.98 : 30,274.64 = 10,325.26 : x
  2. Step 2: Convert to fraction form
    20,178.98/30,274.64 = 10,325.26/x
  3. Step 3: Cross multiply
    20,178.98x = 30,274.64 × 10,325.26
  4. Step 4: Simplify right side
    20,178.98x = 312,593,529.41
  5. Step 5: Solve for x
    x = 312,593,529.41/20,178.98
  6. Step 6: Final answer
    x = 15,491.05

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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.