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Finding the Fourth Proportional to 20,541.60, 30,830.40 and 12,211.20

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Solution

The fourth proportional to 20,541.60, 30,830.40 and 12,211.20 is: 18,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.60 : 30,830.40 = 12,211.20 : x
  2. Step 2: Convert to fraction form
    20,541.60/30,830.40 = 12,211.20/x
  3. Step 3: Cross multiply
    20,541.60x = 30,830.40 × 12,211.20
  4. Step 4: Simplify right side
    20,541.60x = 376,476,180.48
  5. Step 5: Solve for x
    x = 376,476,180.48/20,541.60
  6. Step 6: Final answer
    x = 18,327.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.