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Finding the Fourth Proportional to 16,219.84, 22,382.74 and 9,147.76

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Solution

The fourth proportional to 16,219.84, 22,382.74 and 9,147.76 is: 12,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.84 : 22,382.74 = 9,147.76 : x
  2. Step 2: Convert to fraction form
    16,219.84/22,382.74 = 9,147.76/x
  3. Step 3: Cross multiply
    16,219.84x = 22,382.74 × 9,147.76
  4. Step 4: Simplify right side
    16,219.84x = 204,751,933.66
  5. Step 5: Solve for x
    x = 204,751,933.66/16,219.84
  6. Step 6: Final answer
    x = 12,623.55

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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.