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Finding the Fourth Proportional to 12,016.98, 16,585.83 and 7,999.02

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Solution

The fourth proportional to 12,016.98, 16,585.83 and 7,999.02 is: 11,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.98 : 16,585.83 = 7,999.02 : x
  2. Step 2: Convert to fraction form
    12,016.98/16,585.83 = 7,999.02/x
  3. Step 3: Cross multiply
    12,016.98x = 16,585.83 × 7,999.02
  4. Step 4: Simplify right side
    12,016.98x = 132,670,385.89
  5. Step 5: Solve for x
    x = 132,670,385.89/12,016.98
  6. Step 6: Final answer
    x = 11,040.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.