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Finding the Fourth Proportional to 14,082.50, 21,116.17 and 5,644.77

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Solution

The fourth proportional to 14,082.50, 21,116.17 and 5,644.77 is: 8,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.50 : 21,116.17 = 5,644.77 : x
  2. Step 2: Convert to fraction form
    14,082.50/21,116.17 = 5,644.77/x
  3. Step 3: Cross multiply
    14,082.50x = 21,116.17 × 5,644.77
  4. Step 4: Simplify right side
    14,082.50x = 119,195,789.13
  5. Step 5: Solve for x
    x = 119,195,789.13/14,082.50
  6. Step 6: Final answer
    x = 8,464.11

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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.