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Finding the Fourth Proportional to 12,004.89, 17,970.36 and 7,084.14

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Solution

The fourth proportional to 12,004.89, 17,970.36 and 7,084.14 is: 10,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.89 : 17,970.36 = 7,084.14 : x
  2. Step 2: Convert to fraction form
    12,004.89/17,970.36 = 7,084.14/x
  3. Step 3: Cross multiply
    12,004.89x = 17,970.36 × 7,084.14
  4. Step 4: Simplify right side
    12,004.89x = 127,304,546.09
  5. Step 5: Solve for x
    x = 127,304,546.09/12,004.89
  6. Step 6: Final answer
    x = 10,604.39

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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.