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Finding the Fourth Proportional to 28,027, 38,677.34 and 15,280.32

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Solution

The fourth proportional to 28,027, 38,677.34 and 15,280.32 is: 21,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027 : 38,677.34 = 15,280.32 : x
  2. Step 2: Convert to fraction form
    28,027/38,677.34 = 15,280.32/x
  3. Step 3: Cross multiply
    28,027x = 38,677.34 × 15,280.32
  4. Step 4: Simplify right side
    28,027x = 591,002,131.95
  5. Step 5: Solve for x
    x = 591,002,131.95/28,027
  6. Step 6: Final answer
    x = 21,086.89

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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.