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Finding the Fourth Proportional to 23,384.56, 32,273.76 and 13,958.32

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Solution

The fourth proportional to 23,384.56, 32,273.76 and 13,958.32 is: 19,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.56 : 32,273.76 = 13,958.32 : x
  2. Step 2: Convert to fraction form
    23,384.56/32,273.76 = 13,958.32/x
  3. Step 3: Cross multiply
    23,384.56x = 32,273.76 × 13,958.32
  4. Step 4: Simplify right side
    23,384.56x = 450,487,469.68
  5. Step 5: Solve for x
    x = 450,487,469.68/23,384.56
  6. Step 6: Final answer
    x = 19,264.31

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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.