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Finding the Fourth Proportional to 14,845.37, 20,486.94 and 8,471.83

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Solution

The fourth proportional to 14,845.37, 20,486.94 and 8,471.83 is: 11,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,845.37 : 20,486.94 = 8,471.83 : x
  2. Step 2: Convert to fraction form
    14,845.37/20,486.94 = 8,471.83/x
  3. Step 3: Cross multiply
    14,845.37x = 20,486.94 × 8,471.83
  4. Step 4: Simplify right side
    14,845.37x = 173,561,898.51
  5. Step 5: Solve for x
    x = 173,561,898.51/14,845.37
  6. Step 6: Final answer
    x = 11,691.32

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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.