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Finding the Fourth Proportional to 14,219, 19,619.79 and 8,249.30

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Solution

The fourth proportional to 14,219, 19,619.79 and 8,249.30 is: 11,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219 : 19,619.79 = 8,249.30 : x
  2. Step 2: Convert to fraction form
    14,219/19,619.79 = 8,249.30/x
  3. Step 3: Cross multiply
    14,219x = 19,619.79 × 8,249.30
  4. Step 4: Simplify right side
    14,219x = 161,849,533.65
  5. Step 5: Solve for x
    x = 161,849,533.65/14,219
  6. Step 6: Final answer
    x = 11,382.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.