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Finding the Fourth Proportional to 19,082, 28,623.32 and 7,241.29

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Solution

The fourth proportional to 19,082, 28,623.32 and 7,241.29 is: 10,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082 : 28,623.32 = 7,241.29 : x
  2. Step 2: Convert to fraction form
    19,082/28,623.32 = 7,241.29/x
  3. Step 3: Cross multiply
    19,082x = 28,623.32 × 7,241.29
  4. Step 4: Simplify right side
    19,082x = 207,269,760.88
  5. Step 5: Solve for x
    x = 207,269,760.88/19,082
  6. Step 6: Final answer
    x = 10,862.06

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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.