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Finding the Fourth Proportional to 13,114.10, 19,676.96 and 6,872.63

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Solution

The fourth proportional to 13,114.10, 19,676.96 and 6,872.63 is: 10,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.10 : 19,676.96 = 6,872.63 : x
  2. Step 2: Convert to fraction form
    13,114.10/19,676.96 = 6,872.63/x
  3. Step 3: Cross multiply
    13,114.10x = 19,676.96 × 6,872.63
  4. Step 4: Simplify right side
    13,114.10x = 135,232,365.07
  5. Step 5: Solve for x
    x = 135,232,365.07/13,114.10
  6. Step 6: Final answer
    x = 10,311.98

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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.