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Finding the Fourth Proportional to 16,249.96, 24,378.59 and 5,157.01

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Solution

The fourth proportional to 16,249.96, 24,378.59 and 5,157.01 is: 7,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.96 : 24,378.59 = 5,157.01 : x
  2. Step 2: Convert to fraction form
    16,249.96/24,378.59 = 5,157.01/x
  3. Step 3: Cross multiply
    16,249.96x = 24,378.59 × 5,157.01
  4. Step 4: Simplify right side
    16,249.96x = 125,720,632.42
  5. Step 5: Solve for x
    x = 125,720,632.42/16,249.96
  6. Step 6: Final answer
    x = 7,736.67

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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.