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Finding the Fourth Proportional to 14,219.14, 19,616.19 and 8,550.61

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Solution

The fourth proportional to 14,219.14, 19,616.19 and 8,550.61 is: 11,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.14 : 19,616.19 = 8,550.61 : x
  2. Step 2: Convert to fraction form
    14,219.14/19,616.19 = 8,550.61/x
  3. Step 3: Cross multiply
    14,219.14x = 19,616.19 × 8,550.61
  4. Step 4: Simplify right side
    14,219.14x = 167,730,390.38
  5. Step 5: Solve for x
    x = 167,730,390.38/14,219.14
  6. Step 6: Final answer
    x = 11,796.10

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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.