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Finding the Fourth Proportional to 19,883.76, 29,814.12 and 8,183.76

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Solution

The fourth proportional to 19,883.76, 29,814.12 and 8,183.76 is: 12,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.76 : 29,814.12 = 8,183.76 : x
  2. Step 2: Convert to fraction form
    19,883.76/29,814.12 = 8,183.76/x
  3. Step 3: Cross multiply
    19,883.76x = 29,814.12 × 8,183.76
  4. Step 4: Simplify right side
    19,883.76x = 243,991,602.69
  5. Step 5: Solve for x
    x = 243,991,602.69/19,883.76
  6. Step 6: Final answer
    x = 12,270.90

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1.5x scale

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.