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Finding the Fourth Proportional to 14,844.27, 22,274.60 and 8,274.16

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Solution

The fourth proportional to 14,844.27, 22,274.60 and 8,274.16 is: 12,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844.27 : 22,274.60 = 8,274.16 : x
  2. Step 2: Convert to fraction form
    14,844.27/22,274.60 = 8,274.16/x
  3. Step 3: Cross multiply
    14,844.27x = 22,274.60 × 8,274.16
  4. Step 4: Simplify right side
    14,844.27x = 184,303,604.34
  5. Step 5: Solve for x
    x = 184,303,604.34/14,844.27
  6. Step 6: Final answer
    x = 12,415.81

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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.