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Finding the Fourth Proportional to 23,591.95, 32,557.22 and 12,982.03

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Solution

The fourth proportional to 23,591.95, 32,557.22 and 12,982.03 is: 17,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,591.95 : 32,557.22 = 12,982.03 : x
  2. Step 2: Convert to fraction form
    23,591.95/32,557.22 = 12,982.03/x
  3. Step 3: Cross multiply
    23,591.95x = 32,557.22 × 12,982.03
  4. Step 4: Simplify right side
    23,591.95x = 422,658,806.76
  5. Step 5: Solve for x
    x = 422,658,806.76/23,591.95
  6. Step 6: Final answer
    x = 17,915.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.