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Finding the Fourth Proportional to 19,616.50, 29,437.71 and 9,229.06

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Solution

The fourth proportional to 19,616.50, 29,437.71 and 9,229.06 is: 13,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.50 : 29,437.71 = 9,229.06 : x
  2. Step 2: Convert to fraction form
    19,616.50/29,437.71 = 9,229.06/x
  3. Step 3: Cross multiply
    19,616.50x = 29,437.71 × 9,229.06
  4. Step 4: Simplify right side
    19,616.50x = 271,682,391.85
  5. Step 5: Solve for x
    x = 271,682,391.85/19,616.50
  6. Step 6: Final answer
    x = 13,849.69

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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.