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Finding the Fourth Proportional to 14,481.78, 21,723.94 and 4,093.53

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Solution

The fourth proportional to 14,481.78, 21,723.94 and 4,093.53 is: 6,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.78 : 21,723.94 = 4,093.53 : x
  2. Step 2: Convert to fraction form
    14,481.78/21,723.94 = 4,093.53/x
  3. Step 3: Cross multiply
    14,481.78x = 21,723.94 × 4,093.53
  4. Step 4: Simplify right side
    14,481.78x = 88,927,600.11
  5. Step 5: Solve for x
    x = 88,927,600.11/14,481.78
  6. Step 6: Final answer
    x = 6,140.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.