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Finding the Fourth Proportional to 21,504.88, 32,257.14 and 11,706.46

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Solution

The fourth proportional to 21,504.88, 32,257.14 and 11,706.46 is: 17,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.88 : 32,257.14 = 11,706.46 : x
  2. Step 2: Convert to fraction form
    21,504.88/32,257.14 = 11,706.46/x
  3. Step 3: Cross multiply
    21,504.88x = 32,257.14 × 11,706.46
  4. Step 4: Simplify right side
    21,504.88x = 377,616,919.12
  5. Step 5: Solve for x
    x = 377,616,919.12/21,504.88
  6. Step 6: Final answer
    x = 17,559.59

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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.