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Finding the Fourth Proportional to 13,676.24, 18,873.60 and 8,300.40

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Solution

The fourth proportional to 13,676.24, 18,873.60 and 8,300.40 is: 11,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.24 : 18,873.60 = 8,300.40 : x
  2. Step 2: Convert to fraction form
    13,676.24/18,873.60 = 8,300.40/x
  3. Step 3: Cross multiply
    13,676.24x = 18,873.60 × 8,300.40
  4. Step 4: Simplify right side
    13,676.24x = 156,658,429.44
  5. Step 5: Solve for x
    x = 156,658,429.44/13,676.24
  6. Step 6: Final answer
    x = 11,454.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.