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Finding the Fourth Proportional to 12,237.98, 18,342.39 and 6,391.40

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Solution

The fourth proportional to 12,237.98, 18,342.39 and 6,391.40 is: 9,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.98 : 18,342.39 = 6,391.40 : x
  2. Step 2: Convert to fraction form
    12,237.98/18,342.39 = 6,391.40/x
  3. Step 3: Cross multiply
    12,237.98x = 18,342.39 × 6,391.40
  4. Step 4: Simplify right side
    12,237.98x = 117,233,551.45
  5. Step 5: Solve for x
    x = 117,233,551.45/12,237.98
  6. Step 6: Final answer
    x = 9,579.49

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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.