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Finding the Fourth Proportional to 21,453.54, 32,172.42 and 7,409.96

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Solution

The fourth proportional to 21,453.54, 32,172.42 and 7,409.96 is: 11,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.54 : 32,172.42 = 7,409.96 : x
  2. Step 2: Convert to fraction form
    21,453.54/32,172.42 = 7,409.96/x
  3. Step 3: Cross multiply
    21,453.54x = 32,172.42 × 7,409.96
  4. Step 4: Simplify right side
    21,453.54x = 238,396,451.32
  5. Step 5: Solve for x
    x = 238,396,451.32/21,453.54
  6. Step 6: Final answer
    x = 11,112.22

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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.