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Finding the Fourth Proportional to 18,496.92, 27,718.05 and 9,705.18

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Solution

The fourth proportional to 18,496.92, 27,718.05 and 9,705.18 is: 14,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.92 : 27,718.05 = 9,705.18 : x
  2. Step 2: Convert to fraction form
    18,496.92/27,718.05 = 9,705.18/x
  3. Step 3: Cross multiply
    18,496.92x = 27,718.05 × 9,705.18
  4. Step 4: Simplify right side
    18,496.92x = 269,008,664.50
  5. Step 5: Solve for x
    x = 269,008,664.50/18,496.92
  6. Step 6: Final answer
    x = 14,543.43

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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.