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Finding the Fourth Proportional to 12,006.01, 17,984.89 and 5,983.94

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Solution

The fourth proportional to 12,006.01, 17,984.89 and 5,983.94 is: 8,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.01 : 17,984.89 = 5,983.94 : x
  2. Step 2: Convert to fraction form
    12,006.01/17,984.89 = 5,983.94/x
  3. Step 3: Cross multiply
    12,006.01x = 17,984.89 × 5,983.94
  4. Step 4: Simplify right side
    12,006.01x = 107,620,521.45
  5. Step 5: Solve for x
    x = 107,620,521.45/12,006.01
  6. Step 6: Final answer
    x = 8,963.89

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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.