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Finding the Fourth Proportional to 15,705.78, 23,559.21 and 7,910.34

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Solution

The fourth proportional to 15,705.78, 23,559.21 and 7,910.34 is: 11,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.78 : 23,559.21 = 7,910.34 : x
  2. Step 2: Convert to fraction form
    15,705.78/23,559.21 = 7,910.34/x
  3. Step 3: Cross multiply
    15,705.78x = 23,559.21 × 7,910.34
  4. Step 4: Simplify right side
    15,705.78x = 186,361,361.23
  5. Step 5: Solve for x
    x = 186,361,361.23/15,705.78
  6. Step 6: Final answer
    x = 11,865.78

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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.