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Finding the Fourth Proportional to 23,726.96, 35,596.62 and 8,936

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Solution

The fourth proportional to 23,726.96, 35,596.62 and 8,936 is: 13,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.96 : 35,596.62 = 8,936 : x
  2. Step 2: Convert to fraction form
    23,726.96/35,596.62 = 8,936/x
  3. Step 3: Cross multiply
    23,726.96x = 35,596.62 × 8,936
  4. Step 4: Simplify right side
    23,726.96x = 318,091,396.32
  5. Step 5: Solve for x
    x = 318,091,396.32/23,726.96
  6. Step 6: Final answer
    x = 13,406.33

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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.