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Finding the Fourth Proportional to 14,181.84, 19,572.24 and 8,214

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Solution

The fourth proportional to 14,181.84, 19,572.24 and 8,214 is: 11,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.84 : 19,572.24 = 8,214 : x
  2. Step 2: Convert to fraction form
    14,181.84/19,572.24 = 8,214/x
  3. Step 3: Cross multiply
    14,181.84x = 19,572.24 × 8,214
  4. Step 4: Simplify right side
    14,181.84x = 160,766,379.36
  5. Step 5: Solve for x
    x = 160,766,379.36/14,181.84
  6. Step 6: Final answer
    x = 11,336.07

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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.