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Finding the Fourth Proportional to 12,228.16, 18,331.22 and 4,431.50

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Solution

The fourth proportional to 12,228.16, 18,331.22 and 4,431.50 is: 6,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.16 : 18,331.22 = 4,431.50 : x
  2. Step 2: Convert to fraction form
    12,228.16/18,331.22 = 4,431.50/x
  3. Step 3: Cross multiply
    12,228.16x = 18,331.22 × 4,431.50
  4. Step 4: Simplify right side
    12,228.16x = 81,234,801.43
  5. Step 5: Solve for x
    x = 81,234,801.43/12,228.16
  6. Step 6: Final answer
    x = 6,643.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.