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Finding the Fourth Proportional to 23,577.96, 32,538.36 and 12,968.40

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Solution

The fourth proportional to 23,577.96, 32,538.36 and 12,968.40 is: 17,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.96 : 32,538.36 = 12,968.40 : x
  2. Step 2: Convert to fraction form
    23,577.96/32,538.36 = 12,968.40/x
  3. Step 3: Cross multiply
    23,577.96x = 32,538.36 × 12,968.40
  4. Step 4: Simplify right side
    23,577.96x = 421,970,467.82
  5. Step 5: Solve for x
    x = 421,970,467.82/23,577.96
  6. Step 6: Final answer
    x = 17,896.82

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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.