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Finding the Fourth Proportional to 21,009, 28,993.02 and 11,578.17

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Solution

The fourth proportional to 21,009, 28,993.02 and 11,578.17 is: 15,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009 : 28,993.02 = 11,578.17 : x
  2. Step 2: Convert to fraction form
    21,009/28,993.02 = 11,578.17/x
  3. Step 3: Cross multiply
    21,009x = 28,993.02 × 11,578.17
  4. Step 4: Simplify right side
    21,009x = 335,686,114.37
  5. Step 5: Solve for x
    x = 335,686,114.37/21,009
  6. Step 6: Final answer
    x = 15,978.21

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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.