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Finding the Fourth Proportional to 16,208.96, 24,313.43 and 5,123.43

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Solution

The fourth proportional to 16,208.96, 24,313.43 and 5,123.43 is: 7,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.96 : 24,313.43 = 5,123.43 : x
  2. Step 2: Convert to fraction form
    16,208.96/24,313.43 = 5,123.43/x
  3. Step 3: Cross multiply
    16,208.96x = 24,313.43 × 5,123.43
  4. Step 4: Simplify right side
    16,208.96x = 124,568,169.47
  5. Step 5: Solve for x
    x = 124,568,169.47/16,208.96
  6. Step 6: Final answer
    x = 7,685.15

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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.