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Finding the Fourth Proportional to 16,706.50, 23,054.09 and 9,151.43

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Solution

The fourth proportional to 16,706.50, 23,054.09 and 9,151.43 is: 12,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.50 : 23,054.09 = 9,151.43 : x
  2. Step 2: Convert to fraction form
    16,706.50/23,054.09 = 9,151.43/x
  3. Step 3: Cross multiply
    16,706.50x = 23,054.09 × 9,151.43
  4. Step 4: Simplify right side
    16,706.50x = 210,977,729.82
  5. Step 5: Solve for x
    x = 210,977,729.82/16,706.50
  6. Step 6: Final answer
    x = 12,628.48

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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.