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Finding the Fourth Proportional to 16,628.17, 22,949.84 and 9,914.23

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Solution

The fourth proportional to 16,628.17, 22,949.84 and 9,914.23 is: 13,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,628.17 : 22,949.84 = 9,914.23 : x
  2. Step 2: Convert to fraction form
    16,628.17/22,949.84 = 9,914.23/x
  3. Step 3: Cross multiply
    16,628.17x = 22,949.84 × 9,914.23
  4. Step 4: Simplify right side
    16,628.17x = 227,529,992.22
  5. Step 5: Solve for x
    x = 227,529,992.22/16,628.17
  6. Step 6: Final answer
    x = 13,683.41

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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.