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Finding the Fourth Proportional to 12,754.21, 17,596.29 and 7,448.32

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Solution

The fourth proportional to 12,754.21, 17,596.29 and 7,448.32 is: 10,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.21 : 17,596.29 = 7,448.32 : x
  2. Step 2: Convert to fraction form
    12,754.21/17,596.29 = 7,448.32/x
  3. Step 3: Cross multiply
    12,754.21x = 17,596.29 × 7,448.32
  4. Step 4: Simplify right side
    12,754.21x = 131,062,798.73
  5. Step 5: Solve for x
    x = 131,062,798.73/12,754.21
  6. Step 6: Final answer
    x = 10,276.04

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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.