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Finding the Fourth Proportional to 16,843.71, 23,243.03 and 9,290.33

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Solution

The fourth proportional to 16,843.71, 23,243.03 and 9,290.33 is: 12,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.71 : 23,243.03 = 9,290.33 : x
  2. Step 2: Convert to fraction form
    16,843.71/23,243.03 = 9,290.33/x
  3. Step 3: Cross multiply
    16,843.71x = 23,243.03 × 9,290.33
  4. Step 4: Simplify right side
    16,843.71x = 215,935,430.49
  5. Step 5: Solve for x
    x = 215,935,430.49/16,843.71
  6. Step 6: Final answer
    x = 12,819.94

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1.5x scale

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.