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Finding the Fourth Proportional to 12,264.24, 18,396 and 3,944.64

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Solution

The fourth proportional to 12,264.24, 18,396 and 3,944.64 is: 5,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.24 : 18,396 = 3,944.64 : x
  2. Step 2: Convert to fraction form
    12,264.24/18,396 = 3,944.64/x
  3. Step 3: Cross multiply
    12,264.24x = 18,396 × 3,944.64
  4. Step 4: Simplify right side
    12,264.24x = 72,565,597.44
  5. Step 5: Solve for x
    x = 72,565,597.44/12,264.24
  6. Step 6: Final answer
    x = 5,916.84

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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.