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Finding the Fourth Proportional to 12,237.44, 18,361.28 and 6,083.20

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Solution

The fourth proportional to 12,237.44, 18,361.28 and 6,083.20 is: 9,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.44 : 18,361.28 = 6,083.20 : x
  2. Step 2: Convert to fraction form
    12,237.44/18,361.28 = 6,083.20/x
  3. Step 3: Cross multiply
    12,237.44x = 18,361.28 × 6,083.20
  4. Step 4: Simplify right side
    12,237.44x = 111,695,338.50
  5. Step 5: Solve for x
    x = 111,695,338.50/12,237.44
  6. Step 6: Final answer
    x = 9,127.35

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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.