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Finding the Fourth Proportional to 20,178.40, 30,278.40 and 8,492.80

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Solution

The fourth proportional to 20,178.40, 30,278.40 and 8,492.80 is: 12,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.40 : 30,278.40 = 8,492.80 : x
  2. Step 2: Convert to fraction form
    20,178.40/30,278.40 = 8,492.80/x
  3. Step 3: Cross multiply
    20,178.40x = 30,278.40 × 8,492.80
  4. Step 4: Simplify right side
    20,178.40x = 257,148,395.52
  5. Step 5: Solve for x
    x = 257,148,395.52/20,178.40
  6. Step 6: Final answer
    x = 12,743.75

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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.