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Finding the Fourth Proportional to 23,512.57, 32,448.05 and 12,902.92

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Solution

The fourth proportional to 23,512.57, 32,448.05 and 12,902.92 is: 17,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.57 : 32,448.05 = 12,902.92 : x
  2. Step 2: Convert to fraction form
    23,512.57/32,448.05 = 12,902.92/x
  3. Step 3: Cross multiply
    23,512.57x = 32,448.05 × 12,902.92
  4. Step 4: Simplify right side
    23,512.57x = 418,674,593.31
  5. Step 5: Solve for x
    x = 418,674,593.31/23,512.57
  6. Step 6: Final answer
    x = 17,806.42

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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.