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Finding the Fourth Proportional to 22,668.68, 33,991.32 and 10,178

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Solution

The fourth proportional to 22,668.68, 33,991.32 and 10,178 is: 15,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.68 : 33,991.32 = 10,178 : x
  2. Step 2: Convert to fraction form
    22,668.68/33,991.32 = 10,178/x
  3. Step 3: Cross multiply
    22,668.68x = 33,991.32 × 10,178
  4. Step 4: Simplify right side
    22,668.68x = 345,963,654.96
  5. Step 5: Solve for x
    x = 345,963,654.96/22,668.68
  6. Step 6: Final answer
    x = 15,261.75

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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.