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Finding the Fourth Proportional to 23,635.20, 32,616.96 and 13,024.68

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Solution

The fourth proportional to 23,635.20, 32,616.96 and 13,024.68 is: 17,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.20 : 32,616.96 = 13,024.68 : x
  2. Step 2: Convert to fraction form
    23,635.20/32,616.96 = 13,024.68/x
  3. Step 3: Cross multiply
    23,635.20x = 32,616.96 × 13,024.68
  4. Step 4: Simplify right side
    23,635.20x = 424,825,466.57
  5. Step 5: Solve for x
    x = 424,825,466.57/23,635.20
  6. Step 6: Final answer
    x = 17,974.27

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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.