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Finding the Fourth Proportional to 28,241.52, 38,974.68 and 15,666

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Solution

The fourth proportional to 28,241.52, 38,974.68 and 15,666 is: 21,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,241.52 : 38,974.68 = 15,666 : x
  2. Step 2: Convert to fraction form
    28,241.52/38,974.68 = 15,666/x
  3. Step 3: Cross multiply
    28,241.52x = 38,974.68 × 15,666
  4. Step 4: Simplify right side
    28,241.52x = 610,577,336.88
  5. Step 5: Solve for x
    x = 610,577,336.88/28,241.52
  6. Step 6: Final answer
    x = 21,619.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.