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Finding the Fourth Proportional to 22,280.16, 30,745.44 and 12,206.64

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Solution

The fourth proportional to 22,280.16, 30,745.44 and 12,206.64 is: 16,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.16 : 30,745.44 = 12,206.64 : x
  2. Step 2: Convert to fraction form
    22,280.16/30,745.44 = 12,206.64/x
  3. Step 3: Cross multiply
    22,280.16x = 30,745.44 × 12,206.64
  4. Step 4: Simplify right side
    22,280.16x = 375,298,517.72
  5. Step 5: Solve for x
    x = 375,298,517.72/22,280.16
  6. Step 6: Final answer
    x = 16,844.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.