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Finding the Fourth Proportional to 16,717.92, 23,072.04 and 9,646.80

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Solution

The fourth proportional to 16,717.92, 23,072.04 and 9,646.80 is: 13,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.92 : 23,072.04 = 9,646.80 : x
  2. Step 2: Convert to fraction form
    16,717.92/23,072.04 = 9,646.80/x
  3. Step 3: Cross multiply
    16,717.92x = 23,072.04 × 9,646.80
  4. Step 4: Simplify right side
    16,717.92x = 222,571,355.47
  5. Step 5: Solve for x
    x = 222,571,355.47/16,717.92
  6. Step 6: Final answer
    x = 13,313.34

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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.