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Finding the Fourth Proportional to 12,084.23, 18,125.63 and 7,185.05

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Solution

The fourth proportional to 12,084.23, 18,125.63 and 7,185.05 is: 10,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.23 : 18,125.63 = 7,185.05 : x
  2. Step 2: Convert to fraction form
    12,084.23/18,125.63 = 7,185.05/x
  3. Step 3: Cross multiply
    12,084.23x = 18,125.63 × 7,185.05
  4. Step 4: Simplify right side
    12,084.23x = 130,233,431.28
  5. Step 5: Solve for x
    x = 130,233,431.28/12,084.23
  6. Step 6: Final answer
    x = 10,777.14

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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.