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Finding the Fourth Proportional to 16,092.54, 22,208.64 and 9,021.24

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Solution

The fourth proportional to 16,092.54, 22,208.64 and 9,021.24 is: 12,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.54 : 22,208.64 = 9,021.24 : x
  2. Step 2: Convert to fraction form
    16,092.54/22,208.64 = 9,021.24/x
  3. Step 3: Cross multiply
    16,092.54x = 22,208.64 × 9,021.24
  4. Step 4: Simplify right side
    16,092.54x = 200,349,471.51
  5. Step 5: Solve for x
    x = 200,349,471.51/16,092.54
  6. Step 6: Final answer
    x = 12,449.84

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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.