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Finding the Fourth Proportional to 12,007.24, 17,994.93 and 6,383.74

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Solution

The fourth proportional to 12,007.24, 17,994.93 and 6,383.74 is: 9,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.24 : 17,994.93 = 6,383.74 : x
  2. Step 2: Convert to fraction form
    12,007.24/17,994.93 = 6,383.74/x
  3. Step 3: Cross multiply
    12,007.24x = 17,994.93 × 6,383.74
  4. Step 4: Simplify right side
    12,007.24x = 114,874,954.44
  5. Step 5: Solve for x
    x = 114,874,954.44/12,007.24
  6. Step 6: Final answer
    x = 9,567.14

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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.