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Finding the Fourth Proportional to 12,007.92, 18,014.80 and 4,002.66

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Solution

The fourth proportional to 12,007.92, 18,014.80 and 4,002.66 is: 6,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.92 : 18,014.80 = 4,002.66 : x
  2. Step 2: Convert to fraction form
    12,007.92/18,014.80 = 4,002.66/x
  3. Step 3: Cross multiply
    12,007.92x = 18,014.80 × 4,002.66
  4. Step 4: Simplify right side
    12,007.92x = 72,107,119.37
  5. Step 5: Solve for x
    x = 72,107,119.37/12,007.92
  6. Step 6: Final answer
    x = 6,004.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.