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Finding the Fourth Proportional to 23,571.48, 35,347.80 and 10,414.56

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Solution

The fourth proportional to 23,571.48, 35,347.80 and 10,414.56 is: 15,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.48 : 35,347.80 = 10,414.56 : x
  2. Step 2: Convert to fraction form
    23,571.48/35,347.80 = 10,414.56/x
  3. Step 3: Cross multiply
    23,571.48x = 35,347.80 × 10,414.56
  4. Step 4: Simplify right side
    23,571.48x = 368,131,783.97
  5. Step 5: Solve for x
    x = 368,131,783.97/23,571.48
  6. Step 6: Final answer
    x = 15,617.68

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