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Finding the Fourth Proportional to 22,014.12, 32,991.98 and 11,993.16

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Solution

The fourth proportional to 22,014.12, 32,991.98 and 11,993.16 is: 17,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.12 : 32,991.98 = 11,993.16 : x
  2. Step 2: Convert to fraction form
    22,014.12/32,991.98 = 11,993.16/x
  3. Step 3: Cross multiply
    22,014.12x = 32,991.98 × 11,993.16
  4. Step 4: Simplify right side
    22,014.12x = 395,677,973.03
  5. Step 5: Solve for x
    x = 395,677,973.03/22,014.12
  6. Step 6: Final answer
    x = 17,973.83

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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.