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Finding the Fourth Proportional to 19,689.62, 29,534.43 and 5,838.50

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Solution

The fourth proportional to 19,689.62, 29,534.43 and 5,838.50 is: 8,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.62 : 29,534.43 = 5,838.50 : x
  2. Step 2: Convert to fraction form
    19,689.62/29,534.43 = 5,838.50/x
  3. Step 3: Cross multiply
    19,689.62x = 29,534.43 × 5,838.50
  4. Step 4: Simplify right side
    19,689.62x = 172,436,769.56
  5. Step 5: Solve for x
    x = 172,436,769.56/19,689.62
  6. Step 6: Final answer
    x = 8,757.75

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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.