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Finding the Fourth Proportional to 16,403.42, 24,609.43 and 5,158.31

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Solution

The fourth proportional to 16,403.42, 24,609.43 and 5,158.31 is: 7,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.42 : 24,609.43 = 5,158.31 : x
  2. Step 2: Convert to fraction form
    16,403.42/24,609.43 = 5,158.31/x
  3. Step 3: Cross multiply
    16,403.42x = 24,609.43 × 5,158.31
  4. Step 4: Simplify right side
    16,403.42x = 126,942,958.71
  5. Step 5: Solve for x
    x = 126,942,958.71/16,403.42
  6. Step 6: Final answer
    x = 7,738.81

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