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Finding the Fourth Proportional to 17,530, 24,194.28 and 10,076.56

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Solution

The fourth proportional to 17,530, 24,194.28 and 10,076.56 is: 13,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530 : 24,194.28 = 10,076.56 : x
  2. Step 2: Convert to fraction form
    17,530/24,194.28 = 10,076.56/x
  3. Step 3: Cross multiply
    17,530x = 24,194.28 × 10,076.56
  4. Step 4: Simplify right side
    17,530x = 243,795,114.08
  5. Step 5: Solve for x
    x = 243,795,114.08/17,530
  6. Step 6: Final answer
    x = 13,907.31

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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.