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Finding the Fourth Proportional to 16,766.94, 23,138.30 and 9,213.74

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Solution

The fourth proportional to 16,766.94, 23,138.30 and 9,213.74 is: 12,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.94 : 23,138.30 = 9,213.74 : x
  2. Step 2: Convert to fraction form
    16,766.94/23,138.30 = 9,213.74/x
  3. Step 3: Cross multiply
    16,766.94x = 23,138.30 × 9,213.74
  4. Step 4: Simplify right side
    16,766.94x = 213,190,280.24
  5. Step 5: Solve for x
    x = 213,190,280.24/16,766.94
  6. Step 6: Final answer
    x = 12,714.92

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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.