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Finding the Fourth Proportional to 22,014.15, 32,964.84 and 12,142.46

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Solution

The fourth proportional to 22,014.15, 32,964.84 and 12,142.46 is: 18,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.15 : 32,964.84 = 12,142.46 : x
  2. Step 2: Convert to fraction form
    22,014.15/32,964.84 = 12,142.46/x
  3. Step 3: Cross multiply
    22,014.15x = 32,964.84 × 12,142.46
  4. Step 4: Simplify right side
    22,014.15x = 400,274,086.28
  5. Step 5: Solve for x
    x = 400,274,086.28/22,014.15
  6. Step 6: Final answer
    x = 18,182.58

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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.