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Finding the Fourth Proportional to 28,241.84, 38,974.38 and 15,667.40

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Solution

The fourth proportional to 28,241.84, 38,974.38 and 15,667.40 is: 21,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,241.84 : 38,974.38 = 15,667.40 : x
  2. Step 2: Convert to fraction form
    28,241.84/38,974.38 = 15,667.40/x
  3. Step 3: Cross multiply
    28,241.84x = 38,974.38 × 15,667.40
  4. Step 4: Simplify right side
    28,241.84x = 610,627,201.21
  5. Step 5: Solve for x
    x = 610,627,201.21/28,241.84
  6. Step 6: Final answer
    x = 21,621.37

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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.