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Finding the Fourth Proportional to 18,164.36, 27,195.78 and 9,814.46

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Solution

The fourth proportional to 18,164.36, 27,195.78 and 9,814.46 is: 14,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.36 : 27,195.78 = 9,814.46 : x
  2. Step 2: Convert to fraction form
    18,164.36/27,195.78 = 9,814.46/x
  3. Step 3: Cross multiply
    18,164.36x = 27,195.78 × 9,814.46
  4. Step 4: Simplify right side
    18,164.36x = 266,911,894.98
  5. Step 5: Solve for x
    x = 266,911,894.98/18,164.36
  6. Step 6: Final answer
    x = 14,694.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.