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Finding the Fourth Proportional to 20,160.49, 27,833.93 and 12,992.94

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Solution

The fourth proportional to 20,160.49, 27,833.93 and 12,992.94 is: 17,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.49 : 27,833.93 = 12,992.94 : x
  2. Step 2: Convert to fraction form
    20,160.49/27,833.93 = 12,992.94/x
  3. Step 3: Cross multiply
    20,160.49x = 27,833.93 × 12,992.94
  4. Step 4: Simplify right side
    20,160.49x = 361,644,582.45
  5. Step 5: Solve for x
    x = 361,644,582.45/20,160.49
  6. Step 6: Final answer
    x = 17,938.28

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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.