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Finding the Fourth Proportional to 12,199.41, 18,299.12 and 4,807.35

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Solution

The fourth proportional to 12,199.41, 18,299.12 and 4,807.35 is: 7,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.41 : 18,299.12 = 4,807.35 : x
  2. Step 2: Convert to fraction form
    12,199.41/18,299.12 = 4,807.35/x
  3. Step 3: Cross multiply
    12,199.41x = 18,299.12 × 4,807.35
  4. Step 4: Simplify right side
    12,199.41x = 87,970,250.50
  5. Step 5: Solve for x
    x = 87,970,250.50/12,199.41
  6. Step 6: Final answer
    x = 7,211.03

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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.