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Finding the Fourth Proportional to 23,745.96, 35,618.80 and 9,703

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Solution

The fourth proportional to 23,745.96, 35,618.80 and 9,703 is: 14,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745.96 : 35,618.80 = 9,703 : x
  2. Step 2: Convert to fraction form
    23,745.96/35,618.80 = 9,703/x
  3. Step 3: Cross multiply
    23,745.96x = 35,618.80 × 9,703
  4. Step 4: Simplify right side
    23,745.96x = 345,609,216.40
  5. Step 5: Solve for x
    x = 345,609,216.40/23,745.96
  6. Step 6: Final answer
    x = 14,554.44

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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.