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Finding the Fourth Proportional to 13,705.44, 18,904.14 and 8,676.06

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Solution

The fourth proportional to 13,705.44, 18,904.14 and 8,676.06 is: 11,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.44 : 18,904.14 = 8,676.06 : x
  2. Step 2: Convert to fraction form
    13,705.44/18,904.14 = 8,676.06/x
  3. Step 3: Cross multiply
    13,705.44x = 18,904.14 × 8,676.06
  4. Step 4: Simplify right side
    13,705.44x = 164,013,452.89
  5. Step 5: Solve for x
    x = 164,013,452.89/13,705.44
  6. Step 6: Final answer
    x = 11,967.03

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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.