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Finding the Fourth Proportional to 16,399.14, 24,593.90 and 7,509.44

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Solution

The fourth proportional to 16,399.14, 24,593.90 and 7,509.44 is: 11,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.14 : 24,593.90 = 7,509.44 : x
  2. Step 2: Convert to fraction form
    16,399.14/24,593.90 = 7,509.44/x
  3. Step 3: Cross multiply
    16,399.14x = 24,593.90 × 7,509.44
  4. Step 4: Simplify right side
    16,399.14x = 184,686,496.67
  5. Step 5: Solve for x
    x = 184,686,496.67/16,399.14
  6. Step 6: Final answer
    x = 11,261.96

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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.