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Finding the Fourth Proportional to 23,351.06, 32,224.56 and 12,740.06

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Solution

The fourth proportional to 23,351.06, 32,224.56 and 12,740.06 is: 17,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.06 : 32,224.56 = 12,740.06 : x
  2. Step 2: Convert to fraction form
    23,351.06/32,224.56 = 12,740.06/x
  3. Step 3: Cross multiply
    23,351.06x = 32,224.56 × 12,740.06
  4. Step 4: Simplify right side
    23,351.06x = 410,542,827.87
  5. Step 5: Solve for x
    x = 410,542,827.87/23,351.06
  6. Step 6: Final answer
    x = 17,581.34

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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.