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Finding the Fourth Proportional to 14,899.42, 20,561.12 and 8,093.38

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Solution

The fourth proportional to 14,899.42, 20,561.12 and 8,093.38 is: 11,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899.42 : 20,561.12 = 8,093.38 : x
  2. Step 2: Convert to fraction form
    14,899.42/20,561.12 = 8,093.38/x
  3. Step 3: Cross multiply
    14,899.42x = 20,561.12 × 8,093.38
  4. Step 4: Simplify right side
    14,899.42x = 166,408,916.92
  5. Step 5: Solve for x
    x = 166,408,916.92/14,899.42
  6. Step 6: Final answer
    x = 11,168.82

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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.