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Finding the Fourth Proportional to 23,578.48, 32,538.57 and 12,968.29

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Solution

The fourth proportional to 23,578.48, 32,538.57 and 12,968.29 is: 17,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.48 : 32,538.57 = 12,968.29 : x
  2. Step 2: Convert to fraction form
    23,578.48/32,538.57 = 12,968.29/x
  3. Step 3: Cross multiply
    23,578.48x = 32,538.57 × 12,968.29
  4. Step 4: Simplify right side
    23,578.48x = 421,969,611.95
  5. Step 5: Solve for x
    x = 421,969,611.95/23,578.48
  6. Step 6: Final answer
    x = 17,896.39

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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.