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Finding the Fourth Proportional to 12,237.80, 18,353.10 and 4,839.80

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Solution

The fourth proportional to 12,237.80, 18,353.10 and 4,839.80 is: 7,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.80 : 18,353.10 = 4,839.80 : x
  2. Step 2: Convert to fraction form
    12,237.80/18,353.10 = 4,839.80/x
  3. Step 3: Cross multiply
    12,237.80x = 18,353.10 × 4,839.80
  4. Step 4: Simplify right side
    12,237.80x = 88,825,333.38
  5. Step 5: Solve for x
    x = 88,825,333.38/12,237.80
  6. Step 6: Final answer
    x = 7,258.28

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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.