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Finding the Fourth Proportional to 16,222.96, 22,388.01 and 9,148

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Solution

The fourth proportional to 16,222.96, 22,388.01 and 9,148 is: 12,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.96 : 22,388.01 = 9,148 : x
  2. Step 2: Convert to fraction form
    16,222.96/22,388.01 = 9,148/x
  3. Step 3: Cross multiply
    16,222.96x = 22,388.01 × 9,148
  4. Step 4: Simplify right side
    16,222.96x = 204,805,515.48
  5. Step 5: Solve for x
    x = 204,805,515.48/16,222.96
  6. Step 6: Final answer
    x = 12,624.42

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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.