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Finding the Fourth Proportional to 16,719.50, 23,072.92 and 9,267.50

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Solution

The fourth proportional to 16,719.50, 23,072.92 and 9,267.50 is: 12,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719.50 : 23,072.92 = 9,267.50 : x
  2. Step 2: Convert to fraction form
    16,719.50/23,072.92 = 9,267.50/x
  3. Step 3: Cross multiply
    16,719.50x = 23,072.92 × 9,267.50
  4. Step 4: Simplify right side
    16,719.50x = 213,828,286.10
  5. Step 5: Solve for x
    x = 213,828,286.10/16,719.50
  6. Step 6: Final answer
    x = 12,789.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.