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Finding the Fourth Proportional to 19,537.26, 29,303.73 and 6,388.26

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Solution

The fourth proportional to 19,537.26, 29,303.73 and 6,388.26 is: 9,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.26 : 29,303.73 = 6,388.26 : x
  2. Step 2: Convert to fraction form
    19,537.26/29,303.73 = 6,388.26/x
  3. Step 3: Cross multiply
    19,537.26x = 29,303.73 × 6,388.26
  4. Step 4: Simplify right side
    19,537.26x = 187,199,846.21
  5. Step 5: Solve for x
    x = 187,199,846.21/19,537.26
  6. Step 6: Final answer
    x = 9,581.68

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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.