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Finding the Fourth Proportional to 12,319.15, 18,478.46 and 3,999.15

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Solution

The fourth proportional to 12,319.15, 18,478.46 and 3,999.15 is: 5,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.15 : 18,478.46 = 3,999.15 : x
  2. Step 2: Convert to fraction form
    12,319.15/18,478.46 = 3,999.15/x
  3. Step 3: Cross multiply
    12,319.15x = 18,478.46 × 3,999.15
  4. Step 4: Simplify right side
    12,319.15x = 73,898,095.21
  5. Step 5: Solve for x
    x = 73,898,095.21/12,319.15
  6. Step 6: Final answer
    x = 5,998.64

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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.