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Finding the Fourth Proportional to 13,676.40, 20,499.36 and 5,776.56

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Solution

The fourth proportional to 13,676.40, 20,499.36 and 5,776.56 is: 8,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.40 : 20,499.36 = 5,776.56 : x
  2. Step 2: Convert to fraction form
    13,676.40/20,499.36 = 5,776.56/x
  3. Step 3: Cross multiply
    13,676.40x = 20,499.36 × 5,776.56
  4. Step 4: Simplify right side
    13,676.40x = 118,415,783.00
  5. Step 5: Solve for x
    x = 118,415,783.00/13,676.40
  6. Step 6: Final answer
    x = 8,658.40

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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.