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Finding the Fourth Proportional to 22,196, 33,193.84 and 16,932.64

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Solution

The fourth proportional to 22,196, 33,193.84 and 16,932.64 is: 25,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196 : 33,193.84 = 16,932.64 : x
  2. Step 2: Convert to fraction form
    22,196/33,193.84 = 16,932.64/x
  3. Step 3: Cross multiply
    22,196x = 33,193.84 × 16,932.64
  4. Step 4: Simplify right side
    22,196x = 562,059,342.94
  5. Step 5: Solve for x
    x = 562,059,342.94/22,196
  6. Step 6: Final answer
    x = 25,322.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.