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Finding the Fourth Proportional to 12,274.46, 18,410.71 and 3,952.32

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Solution

The fourth proportional to 12,274.46, 18,410.71 and 3,952.32 is: 5,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.46 : 18,410.71 = 3,952.32 : x
  2. Step 2: Convert to fraction form
    12,274.46/18,410.71 = 3,952.32/x
  3. Step 3: Cross multiply
    12,274.46x = 18,410.71 × 3,952.32
  4. Step 4: Simplify right side
    12,274.46x = 72,765,017.35
  5. Step 5: Solve for x
    x = 72,765,017.35/12,274.46
  6. Step 6: Final answer
    x = 5,928.16

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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.