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Finding the Fourth Proportional to 14,694.42, 20,277.90 and 8,406.39

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Solution

The fourth proportional to 14,694.42, 20,277.90 and 8,406.39 is: 11,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.42 : 20,277.90 = 8,406.39 : x
  2. Step 2: Convert to fraction form
    14,694.42/20,277.90 = 8,406.39/x
  3. Step 3: Cross multiply
    14,694.42x = 20,277.90 × 8,406.39
  4. Step 4: Simplify right side
    14,694.42x = 170,463,935.78
  5. Step 5: Solve for x
    x = 170,463,935.78/14,694.42
  6. Step 6: Final answer
    x = 11,600.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.