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Finding the Fourth Proportional to 13,782.32, 20,676.34 and 7,206.72

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Solution

The fourth proportional to 13,782.32, 20,676.34 and 7,206.72 is: 10,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.32 : 20,676.34 = 7,206.72 : x
  2. Step 2: Convert to fraction form
    13,782.32/20,676.34 = 7,206.72/x
  3. Step 3: Cross multiply
    13,782.32x = 20,676.34 × 7,206.72
  4. Step 4: Simplify right side
    13,782.32x = 149,008,593.00
  5. Step 5: Solve for x
    x = 149,008,593.00/13,782.32
  6. Step 6: Final answer
    x = 10,811.58

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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.