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Finding the Fourth Proportional to 16,400.94, 24,571.70 and 7,523.69

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Solution

The fourth proportional to 16,400.94, 24,571.70 and 7,523.69 is: 11,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.94 : 24,571.70 = 7,523.69 : x
  2. Step 2: Convert to fraction form
    16,400.94/24,571.70 = 7,523.69/x
  3. Step 3: Cross multiply
    16,400.94x = 24,571.70 × 7,523.69
  4. Step 4: Simplify right side
    16,400.94x = 184,869,919.12
  5. Step 5: Solve for x
    x = 184,869,919.12/16,400.94
  6. Step 6: Final answer
    x = 11,271.91

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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.