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Finding the Fourth Proportional to 16,523.27, 22,802.28 and 8,969.67

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Solution

The fourth proportional to 16,523.27, 22,802.28 and 8,969.67 is: 12,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.27 : 22,802.28 = 8,969.67 : x
  2. Step 2: Convert to fraction form
    16,523.27/22,802.28 = 8,969.67/x
  3. Step 3: Cross multiply
    16,523.27x = 22,802.28 × 8,969.67
  4. Step 4: Simplify right side
    16,523.27x = 204,528,812.84
  5. Step 5: Solve for x
    x = 204,528,812.84/16,523.27
  6. Step 6: Final answer
    x = 12,378.23

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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.