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Finding the Fourth Proportional to 19,705.46, 29,532.52 and 8,005

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Solution

The fourth proportional to 19,705.46, 29,532.52 and 8,005 is: 11,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.46 : 29,532.52 = 8,005 : x
  2. Step 2: Convert to fraction form
    19,705.46/29,532.52 = 8,005/x
  3. Step 3: Cross multiply
    19,705.46x = 29,532.52 × 8,005
  4. Step 4: Simplify right side
    19,705.46x = 236,407,822.60
  5. Step 5: Solve for x
    x = 236,407,822.60/19,705.46
  6. Step 6: Final answer
    x = 11,997.07

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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.