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Finding the Fourth Proportional to 13,288, 19,922.01 and 8,024.80

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Solution

The fourth proportional to 13,288, 19,922.01 and 8,024.80 is: 12,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288 : 19,922.01 = 8,024.80 : x
  2. Step 2: Convert to fraction form
    13,288/19,922.01 = 8,024.80/x
  3. Step 3: Cross multiply
    13,288x = 19,922.01 × 8,024.80
  4. Step 4: Simplify right side
    13,288x = 159,870,145.85
  5. Step 5: Solve for x
    x = 159,870,145.85/13,288
  6. Step 6: Final answer
    x = 12,031.17

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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.