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Finding the Fourth Proportional to 20,180.70, 30,271.05 and 6,140.70

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Solution

The fourth proportional to 20,180.70, 30,271.05 and 6,140.70 is: 9,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.70 : 30,271.05 = 6,140.70 : x
  2. Step 2: Convert to fraction form
    20,180.70/30,271.05 = 6,140.70/x
  3. Step 3: Cross multiply
    20,180.70x = 30,271.05 × 6,140.70
  4. Step 4: Simplify right side
    20,180.70x = 185,885,436.74
  5. Step 5: Solve for x
    x = 185,885,436.74/20,180.70
  6. Step 6: Final answer
    x = 9,211.05

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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.