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Finding the Fourth Proportional to 16,767.35, 23,136.44 and 9,214.00

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Solution

The fourth proportional to 16,767.35, 23,136.44 and 9,214.00 is: 12,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.35 : 23,136.44 = 9,214.00 : x
  2. Step 2: Convert to fraction form
    16,767.35/23,136.44 = 9,214.00/x
  3. Step 3: Cross multiply
    16,767.35x = 23,136.44 × 9,214.00
  4. Step 4: Simplify right side
    16,767.35x = 213,179,184.39
  5. Step 5: Solve for x
    x = 213,179,184.39/16,767.35
  6. Step 6: Final answer
    x = 12,713.94

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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.