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Finding the Fourth Proportional to 16,766.84, 23,138.29 and 9,213.32

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Solution

The fourth proportional to 16,766.84, 23,138.29 and 9,213.32 is: 12,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.84 : 23,138.29 = 9,213.32 : x
  2. Step 2: Convert to fraction form
    16,766.84/23,138.29 = 9,213.32/x
  3. Step 3: Cross multiply
    16,766.84x = 23,138.29 × 9,213.32
  4. Step 4: Simplify right side
    16,766.84x = 213,180,539.39
  5. Step 5: Solve for x
    x = 213,180,539.39/16,766.84
  6. Step 6: Final answer
    x = 12,714.41

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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.