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Finding the Fourth Proportional to 21,735.44, 32,604.24 and 9,257.12

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Solution

The fourth proportional to 21,735.44, 32,604.24 and 9,257.12 is: 13,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.44 : 32,604.24 = 9,257.12 : x
  2. Step 2: Convert to fraction form
    21,735.44/32,604.24 = 9,257.12/x
  3. Step 3: Cross multiply
    21,735.44x = 32,604.24 × 9,257.12
  4. Step 4: Simplify right side
    21,735.44x = 301,821,362.19
  5. Step 5: Solve for x
    x = 301,821,362.19/21,735.44
  6. Step 6: Final answer
    x = 13,886.14

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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.