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Finding the Fourth Proportional to 13,262.56, 19,899.06 and 5,469.52

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Solution

The fourth proportional to 13,262.56, 19,899.06 and 5,469.52 is: 8,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.56 : 19,899.06 = 5,469.52 : x
  2. Step 2: Convert to fraction form
    13,262.56/19,899.06 = 5,469.52/x
  3. Step 3: Cross multiply
    13,262.56x = 19,899.06 × 5,469.52
  4. Step 4: Simplify right side
    13,262.56x = 108,838,306.65
  5. Step 5: Solve for x
    x = 108,838,306.65/13,262.56
  6. Step 6: Final answer
    x = 8,206.43

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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.