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Finding the Fourth Proportional to 18,534.54, 27,812.73 and 6,855.90

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Solution

The fourth proportional to 18,534.54, 27,812.73 and 6,855.90 is: 10,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.54 : 27,812.73 = 6,855.90 : x
  2. Step 2: Convert to fraction form
    18,534.54/27,812.73 = 6,855.90/x
  3. Step 3: Cross multiply
    18,534.54x = 27,812.73 × 6,855.90
  4. Step 4: Simplify right side
    18,534.54x = 190,681,295.61
  5. Step 5: Solve for x
    x = 190,681,295.61/18,534.54
  6. Step 6: Final answer
    x = 10,287.89

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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.