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Finding the Fourth Proportional to 19,660, 29,494.86 and 5,809

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Solution

The fourth proportional to 19,660, 29,494.86 and 5,809 is: 8,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660 : 29,494.86 = 5,809 : x
  2. Step 2: Convert to fraction form
    19,660/29,494.86 = 5,809/x
  3. Step 3: Cross multiply
    19,660x = 29,494.86 × 5,809
  4. Step 4: Simplify right side
    19,660x = 171,335,641.74
  5. Step 5: Solve for x
    x = 171,335,641.74/19,660
  6. Step 6: Final answer
    x = 8,714.94

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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.