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Finding the Fourth Proportional to 13,783.77, 20,676.06 and 5,025.24

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Solution

The fourth proportional to 13,783.77, 20,676.06 and 5,025.24 is: 7,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.77 : 20,676.06 = 5,025.24 : x
  2. Step 2: Convert to fraction form
    13,783.77/20,676.06 = 5,025.24/x
  3. Step 3: Cross multiply
    13,783.77x = 20,676.06 × 5,025.24
  4. Step 4: Simplify right side
    13,783.77x = 103,902,163.75
  5. Step 5: Solve for x
    x = 103,902,163.75/13,783.77
  6. Step 6: Final answer
    x = 7,538.01

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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.