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Finding the Fourth Proportional to 13,997.37, 20,976.30 and 7,760.16

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Solution

The fourth proportional to 13,997.37, 20,976.30 and 7,760.16 is: 11,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.37 : 20,976.30 = 7,760.16 : x
  2. Step 2: Convert to fraction form
    13,997.37/20,976.30 = 7,760.16/x
  3. Step 3: Cross multiply
    13,997.37x = 20,976.30 × 7,760.16
  4. Step 4: Simplify right side
    13,997.37x = 162,779,444.21
  5. Step 5: Solve for x
    x = 162,779,444.21/13,997.37
  6. Step 6: Final answer
    x = 11,629.29

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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.