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Finding the Fourth Proportional to 14,183.20, 21,278 and 4,695.50

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Solution

The fourth proportional to 14,183.20, 21,278 and 4,695.50 is: 7,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.20 : 21,278 = 4,695.50 : x
  2. Step 2: Convert to fraction form
    14,183.20/21,278 = 4,695.50/x
  3. Step 3: Cross multiply
    14,183.20x = 21,278 × 4,695.50
  4. Step 4: Simplify right side
    14,183.20x = 99,910,742.61
  5. Step 5: Solve for x
    x = 99,910,742.61/14,183.20
  6. Step 6: Final answer
    x = 7,044.30

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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.