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Finding the Fourth Proportional to 13,227.57, 19,841.36 and 5,333.67

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Solution

The fourth proportional to 13,227.57, 19,841.36 and 5,333.67 is: 8,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.57 : 19,841.36 = 5,333.67 : x
  2. Step 2: Convert to fraction form
    13,227.57/19,841.36 = 5,333.67/x
  3. Step 3: Cross multiply
    13,227.57x = 19,841.36 × 5,333.67
  4. Step 4: Simplify right side
    13,227.57x = 105,827,239.92
  5. Step 5: Solve for x
    x = 105,827,239.92/13,227.57
  6. Step 6: Final answer
    x = 8,000.51

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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.