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Finding the Fourth Proportional to 23,512.74, 32,448.11 and 13,442.11

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Solution

The fourth proportional to 23,512.74, 32,448.11 and 13,442.11 is: 18,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.74 : 32,448.11 = 13,442.11 : x
  2. Step 2: Convert to fraction form
    23,512.74/32,448.11 = 13,442.11/x
  3. Step 3: Cross multiply
    23,512.74x = 32,448.11 × 13,442.11
  4. Step 4: Simplify right side
    23,512.74x = 436,170,991.19
  5. Step 5: Solve for x
    x = 436,170,991.19/23,512.74
  6. Step 6: Final answer
    x = 18,550.41

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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.