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Finding the Fourth Proportional to 12,274.28, 18,405.95 and 4,477.63

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Solution

The fourth proportional to 12,274.28, 18,405.95 and 4,477.63 is: 6,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.28 : 18,405.95 = 4,477.63 : x
  2. Step 2: Convert to fraction form
    12,274.28/18,405.95 = 4,477.63/x
  3. Step 3: Cross multiply
    12,274.28x = 18,405.95 × 4,477.63
  4. Step 4: Simplify right side
    12,274.28x = 82,414,941.87
  5. Step 5: Solve for x
    x = 82,414,941.87/12,274.28
  6. Step 6: Final answer
    x = 6,714.44

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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.