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Finding the Fourth Proportional to 23,578.34, 32,538.76 and 12,968.24

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Solution

The fourth proportional to 23,578.34, 32,538.76 and 12,968.24 is: 17,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.34 : 32,538.76 = 12,968.24 : x
  2. Step 2: Convert to fraction form
    23,578.34/32,538.76 = 12,968.24/x
  3. Step 3: Cross multiply
    23,578.34x = 32,538.76 × 12,968.24
  4. Step 4: Simplify right side
    23,578.34x = 421,970,448.98
  5. Step 5: Solve for x
    x = 421,970,448.98/23,578.34
  6. Step 6: Final answer
    x = 17,896.53

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