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Finding the Fourth Proportional to 21,512.34, 32,239.80 and 11,496.56

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Solution

The fourth proportional to 21,512.34, 32,239.80 and 11,496.56 is: 17,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.34 : 32,239.80 = 11,496.56 : x
  2. Step 2: Convert to fraction form
    21,512.34/32,239.80 = 11,496.56/x
  3. Step 3: Cross multiply
    21,512.34x = 32,239.80 × 11,496.56
  4. Step 4: Simplify right side
    21,512.34x = 370,646,633.89
  5. Step 5: Solve for x
    x = 370,646,633.89/21,512.34
  6. Step 6: Final answer
    x = 17,229.49

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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.