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Finding the Fourth Proportional to 10,015.83, 14,999.13 and 8,027.48

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Solution

The fourth proportional to 10,015.83, 14,999.13 and 8,027.48 is: 12,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.83 : 14,999.13 = 8,027.48 : x
  2. Step 2: Convert to fraction form
    10,015.83/14,999.13 = 8,027.48/x
  3. Step 3: Cross multiply
    10,015.83x = 14,999.13 × 8,027.48
  4. Step 4: Simplify right side
    10,015.83x = 120,405,141.10
  5. Step 5: Solve for x
    x = 120,405,141.10/10,015.83
  6. Step 6: Final answer
    x = 12,021.48

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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.