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Finding the Fourth Proportional to 16,416.42, 24,625.50 and 5,321.64

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Solution

The fourth proportional to 16,416.42, 24,625.50 and 5,321.64 is: 7,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.42 : 24,625.50 = 5,321.64 : x
  2. Step 2: Convert to fraction form
    16,416.42/24,625.50 = 5,321.64/x
  3. Step 3: Cross multiply
    16,416.42x = 24,625.50 × 5,321.64
  4. Step 4: Simplify right side
    16,416.42x = 131,048,045.82
  5. Step 5: Solve for x
    x = 131,048,045.82/16,416.42
  6. Step 6: Final answer
    x = 7,982.74

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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.