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Finding the Fourth Proportional to 11,968.66, 17,936.07 and 9,005.14

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Solution

The fourth proportional to 11,968.66, 17,936.07 and 9,005.14 is: 13,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.66 : 17,936.07 = 9,005.14 : x
  2. Step 2: Convert to fraction form
    11,968.66/17,936.07 = 9,005.14/x
  3. Step 3: Cross multiply
    11,968.66x = 17,936.07 × 9,005.14
  4. Step 4: Simplify right side
    11,968.66x = 161,516,821.40
  5. Step 5: Solve for x
    x = 161,516,821.40/11,968.66
  6. Step 6: Final answer
    x = 13,494.98

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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.