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Finding the Fourth Proportional to 12,097.44, 18,146.52 and 3,333

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Solution

The fourth proportional to 12,097.44, 18,146.52 and 3,333 is: 4,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.44 : 18,146.52 = 3,333 : x
  2. Step 2: Convert to fraction form
    12,097.44/18,146.52 = 3,333/x
  3. Step 3: Cross multiply
    12,097.44x = 18,146.52 × 3,333
  4. Step 4: Simplify right side
    12,097.44x = 60,482,351.16
  5. Step 5: Solve for x
    x = 60,482,351.16/12,097.44
  6. Step 6: Final answer
    x = 4,999.60

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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.