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Finding the Fourth Proportional to 14,219.04, 19,620.04 and 8,249.48

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Solution

The fourth proportional to 14,219.04, 19,620.04 and 8,249.48 is: 11,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.04 : 19,620.04 = 8,249.48 : x
  2. Step 2: Convert to fraction form
    14,219.04/19,620.04 = 8,249.48/x
  3. Step 3: Cross multiply
    14,219.04x = 19,620.04 × 8,249.48
  4. Step 4: Simplify right side
    14,219.04x = 161,855,127.58
  5. Step 5: Solve for x
    x = 161,855,127.58/14,219.04
  6. Step 6: Final answer
    x = 11,382.99

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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.