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Finding the Fourth Proportional to 16,700.50, 23,046.96 and 9,146.70

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Solution

The fourth proportional to 16,700.50, 23,046.96 and 9,146.70 is: 12,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.50 : 23,046.96 = 9,146.70 : x
  2. Step 2: Convert to fraction form
    16,700.50/23,046.96 = 9,146.70/x
  3. Step 3: Cross multiply
    16,700.50x = 23,046.96 × 9,146.70
  4. Step 4: Simplify right side
    16,700.50x = 210,803,629.03
  5. Step 5: Solve for x
    x = 210,803,629.03/16,700.50
  6. Step 6: Final answer
    x = 12,622.59

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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.