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Finding the Fourth Proportional to 16,432, 22,676.72 and 8,980.48

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Solution

The fourth proportional to 16,432, 22,676.72 and 8,980.48 is: 12,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432 : 22,676.72 = 8,980.48 : x
  2. Step 2: Convert to fraction form
    16,432/22,676.72 = 8,980.48/x
  3. Step 3: Cross multiply
    16,432x = 22,676.72 × 8,980.48
  4. Step 4: Simplify right side
    16,432x = 203,647,830.43
  5. Step 5: Solve for x
    x = 203,647,830.43/16,432
  6. Step 6: Final answer
    x = 12,393.37

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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.