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Finding the Fourth Proportional to 23,512.82, 32,448.20 and 12,903.17

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Solution

The fourth proportional to 23,512.82, 32,448.20 and 12,903.17 is: 17,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.82 : 32,448.20 = 12,903.17 : x
  2. Step 2: Convert to fraction form
    23,512.82/32,448.20 = 12,903.17/x
  3. Step 3: Cross multiply
    23,512.82x = 32,448.20 × 12,903.17
  4. Step 4: Simplify right side
    23,512.82x = 418,684,414.04
  5. Step 5: Solve for x
    x = 418,684,414.04/23,512.82
  6. Step 6: Final answer
    x = 17,806.65

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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.