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Finding the Fourth Proportional to 23,776.09, 32,812.04 and 13,165.73

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Solution

The fourth proportional to 23,776.09, 32,812.04 and 13,165.73 is: 18,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.09 : 32,812.04 = 13,165.73 : x
  2. Step 2: Convert to fraction form
    23,776.09/32,812.04 = 13,165.73/x
  3. Step 3: Cross multiply
    23,776.09x = 32,812.04 × 13,165.73
  4. Step 4: Simplify right side
    23,776.09x = 431,994,574.33
  5. Step 5: Solve for x
    x = 431,994,574.33/23,776.09
  6. Step 6: Final answer
    x = 18,169.29

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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.