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Finding the Fourth Proportional to 28,242, 38,974.50 and 15,667.56

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Solution

The fourth proportional to 28,242, 38,974.50 and 15,667.56 is: 21,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242 : 38,974.50 = 15,667.56 : x
  2. Step 2: Convert to fraction form
    28,242/38,974.50 = 15,667.56/x
  3. Step 3: Cross multiply
    28,242x = 38,974.50 × 15,667.56
  4. Step 4: Simplify right side
    28,242x = 610,635,317.22
  5. Step 5: Solve for x
    x = 610,635,317.22/28,242
  6. Step 6: Final answer
    x = 21,621.53

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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.