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Finding the Fourth Proportional to 18,185.94, 27,287.42 and 9,416.07

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Solution

The fourth proportional to 18,185.94, 27,287.42 and 9,416.07 is: 14,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,185.94 : 27,287.42 = 9,416.07 : x
  2. Step 2: Convert to fraction form
    18,185.94/27,287.42 = 9,416.07/x
  3. Step 3: Cross multiply
    18,185.94x = 27,287.42 × 9,416.07
  4. Step 4: Simplify right side
    18,185.94x = 256,940,209.76
  5. Step 5: Solve for x
    x = 256,940,209.76/18,185.94
  6. Step 6: Final answer
    x = 14,128.51

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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.