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Finding the Fourth Proportional to 23,435.08, 32,331.36 and 14,467

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Solution

The fourth proportional to 23,435.08, 32,331.36 and 14,467 is: 19,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.08 : 32,331.36 = 14,467 : x
  2. Step 2: Convert to fraction form
    23,435.08/32,331.36 = 14,467/x
  3. Step 3: Cross multiply
    23,435.08x = 32,331.36 × 14,467
  4. Step 4: Simplify right side
    23,435.08x = 467,737,785.12
  5. Step 5: Solve for x
    x = 467,737,785.12/23,435.08
  6. Step 6: Final answer
    x = 19,958.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.