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Finding the Fourth Proportional to 29,724.40, 44,608.20 and 12,206.80

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Solution

The fourth proportional to 29,724.40, 44,608.20 and 12,206.80 is: 18,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724.40 : 44,608.20 = 12,206.80 : x
  2. Step 2: Convert to fraction form
    29,724.40/44,608.20 = 12,206.80/x
  3. Step 3: Cross multiply
    29,724.40x = 44,608.20 × 12,206.80
  4. Step 4: Simplify right side
    29,724.40x = 544,523,375.76
  5. Step 5: Solve for x
    x = 544,523,375.76/29,724.40
  6. Step 6: Final answer
    x = 18,319.07

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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.