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Finding the Fourth Proportional to 14,181.96, 21,272.88 and 3,793.68

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Solution

The fourth proportional to 14,181.96, 21,272.88 and 3,793.68 is: 5,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.96 : 21,272.88 = 3,793.68 : x
  2. Step 2: Convert to fraction form
    14,181.96/21,272.88 = 3,793.68/x
  3. Step 3: Cross multiply
    14,181.96x = 21,272.88 × 3,793.68
  4. Step 4: Simplify right side
    14,181.96x = 80,702,499.40
  5. Step 5: Solve for x
    x = 80,702,499.40/14,181.96
  6. Step 6: Final answer
    x = 5,690.50

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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.