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Finding the Fourth Proportional to 12,146.25, 18,202.86 and 7,753.98

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Solution

The fourth proportional to 12,146.25, 18,202.86 and 7,753.98 is: 11,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.25 : 18,202.86 = 7,753.98 : x
  2. Step 2: Convert to fraction form
    12,146.25/18,202.86 = 7,753.98/x
  3. Step 3: Cross multiply
    12,146.25x = 18,202.86 × 7,753.98
  4. Step 4: Simplify right side
    12,146.25x = 141,144,612.38
  5. Step 5: Solve for x
    x = 141,144,612.38/12,146.25
  6. Step 6: Final answer
    x = 11,620.43

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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.