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Finding the Fourth Proportional to 23,416.72, 35,072.34 and 16,427.86

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Solution

The fourth proportional to 23,416.72, 35,072.34 and 16,427.86 is: 24,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.72 : 35,072.34 = 16,427.86 : x
  2. Step 2: Convert to fraction form
    23,416.72/35,072.34 = 16,427.86/x
  3. Step 3: Cross multiply
    23,416.72x = 35,072.34 × 16,427.86
  4. Step 4: Simplify right side
    23,416.72x = 576,163,491.39
  5. Step 5: Solve for x
    x = 576,163,491.39/23,416.72
  6. Step 6: Final answer
    x = 24,604.79

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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.