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Finding the Fourth Proportional to 19,902.10, 29,867.55 and 8,223.70

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Solution

The fourth proportional to 19,902.10, 29,867.55 and 8,223.70 is: 12,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.10 : 29,867.55 = 8,223.70 : x
  2. Step 2: Convert to fraction form
    19,902.10/29,867.55 = 8,223.70/x
  3. Step 3: Cross multiply
    19,902.10x = 29,867.55 × 8,223.70
  4. Step 4: Simplify right side
    19,902.10x = 245,621,770.94
  5. Step 5: Solve for x
    x = 245,621,770.94/19,902.10
  6. Step 6: Final answer
    x = 12,341.50

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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.