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Finding the Fourth Proportional to 13,705.03, 18,911.33 and 7,736.34

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Solution

The fourth proportional to 13,705.03, 18,911.33 and 7,736.34 is: 10,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.03 : 18,911.33 = 7,736.34 : x
  2. Step 2: Convert to fraction form
    13,705.03/18,911.33 = 7,736.34/x
  3. Step 3: Cross multiply
    13,705.03x = 18,911.33 × 7,736.34
  4. Step 4: Simplify right side
    13,705.03x = 146,304,440.05
  5. Step 5: Solve for x
    x = 146,304,440.05/13,705.03
  6. Step 6: Final answer
    x = 10,675.24

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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.