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Finding the Fourth Proportional to 27,404.50, 41,082.08 and 9,862

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Solution

The fourth proportional to 27,404.50, 41,082.08 and 9,862 is: 14,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404.50 : 41,082.08 = 9,862 : x
  2. Step 2: Convert to fraction form
    27,404.50/41,082.08 = 9,862/x
  3. Step 3: Cross multiply
    27,404.50x = 41,082.08 × 9,862
  4. Step 4: Simplify right side
    27,404.50x = 405,151,472.96
  5. Step 5: Solve for x
    x = 405,151,472.96/27,404.50
  6. Step 6: Final answer
    x = 14,784.12

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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.