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Finding the Fourth Proportional to 20,543.60, 30,833.40 and 12,213.20

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Solution

The fourth proportional to 20,543.60, 30,833.40 and 12,213.20 is: 18,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.60 : 30,833.40 = 12,213.20 : x
  2. Step 2: Convert to fraction form
    20,543.60/30,833.40 = 12,213.20/x
  3. Step 3: Cross multiply
    20,543.60x = 30,833.40 × 12,213.20
  4. Step 4: Simplify right side
    20,543.60x = 376,574,480.88
  5. Step 5: Solve for x
    x = 376,574,480.88/20,543.60
  6. Step 6: Final answer
    x = 18,330.50

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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.