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Finding the Fourth Proportional to 65,586, 98,379.36 and 16,338

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Solution

The fourth proportional to 65,586, 98,379.36 and 16,338 is: 24,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,586 : 98,379.36 = 16,338 : x
  2. Step 2: Convert to fraction form
    65,586/98,379.36 = 16,338/x
  3. Step 3: Cross multiply
    65,586x = 98,379.36 × 16,338
  4. Step 4: Simplify right side
    65,586x = 1,607,321,983.68
  5. Step 5: Solve for x
    x = 1,607,321,983.68/65,586
  6. Step 6: Final answer
    x = 24,507.09

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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.