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Finding the Fourth Proportional to 21,735.32, 32,615.09 and 11,739.86

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Solution

The fourth proportional to 21,735.32, 32,615.09 and 11,739.86 is: 17,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.32 : 32,615.09 = 11,739.86 : x
  2. Step 2: Convert to fraction form
    21,735.32/32,615.09 = 11,739.86/x
  3. Step 3: Cross multiply
    21,735.32x = 32,615.09 × 11,739.86
  4. Step 4: Simplify right side
    21,735.32x = 382,896,784.54
  5. Step 5: Solve for x
    x = 382,896,784.54/21,735.32
  6. Step 6: Final answer
    x = 17,616.34

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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.