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Finding the Fourth Proportional to 16,523.42, 22,802.34 and 8,969.75

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Solution

The fourth proportional to 16,523.42, 22,802.34 and 8,969.75 is: 12,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.42 : 22,802.34 = 8,969.75 : x
  2. Step 2: Convert to fraction form
    16,523.42/22,802.34 = 8,969.75/x
  3. Step 3: Cross multiply
    16,523.42x = 22,802.34 × 8,969.75
  4. Step 4: Simplify right side
    16,523.42x = 204,531,243.89
  5. Step 5: Solve for x
    x = 204,531,243.89/16,523.42
  6. Step 6: Final answer
    x = 12,378.26

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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.