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Finding the Fourth Proportional to 21,015.67, 28,999.92 and 11,584.30

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Solution

The fourth proportional to 21,015.67, 28,999.92 and 11,584.30 is: 15,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.67 : 28,999.92 = 11,584.30 : x
  2. Step 2: Convert to fraction form
    21,015.67/28,999.92 = 11,584.30/x
  3. Step 3: Cross multiply
    21,015.67x = 28,999.92 × 11,584.30
  4. Step 4: Simplify right side
    21,015.67x = 335,943,773.26
  5. Step 5: Solve for x
    x = 335,943,773.26/21,015.67
  6. Step 6: Final answer
    x = 15,985.39

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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.