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Finding the Fourth Proportional to 19,880.51, 29,801.33 and 8,202.11

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Solution

The fourth proportional to 19,880.51, 29,801.33 and 8,202.11 is: 12,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.51 : 29,801.33 = 8,202.11 : x
  2. Step 2: Convert to fraction form
    19,880.51/29,801.33 = 8,202.11/x
  3. Step 3: Cross multiply
    19,880.51x = 29,801.33 × 8,202.11
  4. Step 4: Simplify right side
    19,880.51x = 244,433,745.80
  5. Step 5: Solve for x
    x = 244,433,745.80/19,880.51
  6. Step 6: Final answer
    x = 12,295.14

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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.