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Finding the Fourth Proportional to 16,523.36, 22,802.39 and 8,969.76

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Solution

The fourth proportional to 16,523.36, 22,802.39 and 8,969.76 is: 12,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.36 : 22,802.39 = 8,969.76 : x
  2. Step 2: Convert to fraction form
    16,523.36/22,802.39 = 8,969.76/x
  3. Step 3: Cross multiply
    16,523.36x = 22,802.39 × 8,969.76
  4. Step 4: Simplify right side
    16,523.36x = 204,531,920.88
  5. Step 5: Solve for x
    x = 204,531,920.88/16,523.36
  6. Step 6: Final answer
    x = 12,378.35

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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.