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Finding the Fourth Proportional to 12,084.98, 18,126.75 and 7,185.80

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Solution

The fourth proportional to 12,084.98, 18,126.75 and 7,185.80 is: 10,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.98 : 18,126.75 = 7,185.80 : x
  2. Step 2: Convert to fraction form
    12,084.98/18,126.75 = 7,185.80/x
  3. Step 3: Cross multiply
    12,084.98x = 18,126.75 × 7,185.80
  4. Step 4: Simplify right side
    12,084.98x = 130,255,109.52
  5. Step 5: Solve for x
    x = 130,255,109.52/12,084.98
  6. Step 6: Final answer
    x = 10,778.27

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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.