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Finding the Fourth Proportional to 15,441, 23,147.64 and 5,577.97

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Solution

The fourth proportional to 15,441, 23,147.64 and 5,577.97 is: 8,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441 : 23,147.64 = 5,577.97 : x
  2. Step 2: Convert to fraction form
    15,441/23,147.64 = 5,577.97/x
  3. Step 3: Cross multiply
    15,441x = 23,147.64 × 5,577.97
  4. Step 4: Simplify right side
    15,441x = 129,116,725.75
  5. Step 5: Solve for x
    x = 129,116,725.75/15,441
  6. Step 6: Final answer
    x = 8,361.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.