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Finding the Fourth Proportional to 23,577.77, 32,538.01 and 12,968.09

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Solution

The fourth proportional to 23,577.77, 32,538.01 and 12,968.09 is: 17,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.77 : 32,538.01 = 12,968.09 : x
  2. Step 2: Convert to fraction form
    23,577.77/32,538.01 = 12,968.09/x
  3. Step 3: Cross multiply
    23,577.77x = 32,538.01 × 12,968.09
  4. Step 4: Simplify right side
    23,577.77x = 421,955,842.10
  5. Step 5: Solve for x
    x = 421,955,842.10/23,577.77
  6. Step 6: Final answer
    x = 17,896.34

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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.