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Finding the Fourth Proportional to 12,005.31, 18,002.21 and 5,674.92

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Solution

The fourth proportional to 12,005.31, 18,002.21 and 5,674.92 is: 8,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.31 : 18,002.21 = 5,674.92 : x
  2. Step 2: Convert to fraction form
    12,005.31/18,002.21 = 5,674.92/x
  3. Step 3: Cross multiply
    12,005.31x = 18,002.21 × 5,674.92
  4. Step 4: Simplify right side
    12,005.31x = 102,161,101.57
  5. Step 5: Solve for x
    x = 102,161,101.57/12,005.31
  6. Step 6: Final answer
    x = 8,509.66

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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.