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Finding the Fourth Proportional to 23,342.58, 32,216.94 and 13,911.75

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Solution

The fourth proportional to 23,342.58, 32,216.94 and 13,911.75 is: 19,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.58 : 32,216.94 = 13,911.75 : x
  2. Step 2: Convert to fraction form
    23,342.58/32,216.94 = 13,911.75/x
  3. Step 3: Cross multiply
    23,342.58x = 32,216.94 × 13,911.75
  4. Step 4: Simplify right side
    23,342.58x = 448,194,015.05
  5. Step 5: Solve for x
    x = 448,194,015.05/23,342.58
  6. Step 6: Final answer
    x = 19,200.71

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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.