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Finding the Fourth Proportional to 21,009, 28,992.42 and 11,578.44

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Solution

The fourth proportional to 21,009, 28,992.42 and 11,578.44 is: 15,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009 : 28,992.42 = 11,578.44 : x
  2. Step 2: Convert to fraction form
    21,009/28,992.42 = 11,578.44/x
  3. Step 3: Cross multiply
    21,009x = 28,992.42 × 11,578.44
  4. Step 4: Simplify right side
    21,009x = 335,686,995.42
  5. Step 5: Solve for x
    x = 335,686,995.42/21,009
  6. Step 6: Final answer
    x = 15,978.25

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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.