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Finding the Fourth Proportional to 12,327.41, 18,494.06 and 4,007.50

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Solution

The fourth proportional to 12,327.41, 18,494.06 and 4,007.50 is: 6,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.41 : 18,494.06 = 4,007.50 : x
  2. Step 2: Convert to fraction form
    12,327.41/18,494.06 = 4,007.50/x
  3. Step 3: Cross multiply
    12,327.41x = 18,494.06 × 4,007.50
  4. Step 4: Simplify right side
    12,327.41x = 74,114,879.18
  5. Step 5: Solve for x
    x = 74,114,879.18/12,327.41
  6. Step 6: Final answer
    x = 6,012.20

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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.