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Finding the Fourth Proportional to 13,705.26, 18,913.14 and 7,736.88

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Solution

The fourth proportional to 13,705.26, 18,913.14 and 7,736.88 is: 10,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.26 : 18,913.14 = 7,736.88 : x
  2. Step 2: Convert to fraction form
    13,705.26/18,913.14 = 7,736.88/x
  3. Step 3: Cross multiply
    13,705.26x = 18,913.14 × 7,736.88
  4. Step 4: Simplify right side
    13,705.26x = 146,328,694.60
  5. Step 5: Solve for x
    x = 146,328,694.60/13,705.26
  6. Step 6: Final answer
    x = 10,676.83

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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.