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Finding the Fourth Proportional to 19,238.73, 28,861.13 and 8,145.48

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Solution

The fourth proportional to 19,238.73, 28,861.13 and 8,145.48 is: 12,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,238.73 : 28,861.13 = 8,145.48 : x
  2. Step 2: Convert to fraction form
    19,238.73/28,861.13 = 8,145.48/x
  3. Step 3: Cross multiply
    19,238.73x = 28,861.13 × 8,145.48
  4. Step 4: Simplify right side
    19,238.73x = 235,087,757.19
  5. Step 5: Solve for x
    x = 235,087,757.19/19,238.73
  6. Step 6: Final answer
    x = 12,219.50

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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.