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Finding the Fourth Proportional to 24,520.54, 36,786.26 and 8,938.16

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Solution

The fourth proportional to 24,520.54, 36,786.26 and 8,938.16 is: 13,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520.54 : 36,786.26 = 8,938.16 : x
  2. Step 2: Convert to fraction form
    24,520.54/36,786.26 = 8,938.16/x
  3. Step 3: Cross multiply
    24,520.54x = 36,786.26 × 8,938.16
  4. Step 4: Simplify right side
    24,520.54x = 328,801,477.68
  5. Step 5: Solve for x
    x = 328,801,477.68/24,520.54
  6. Step 6: Final answer
    x = 13,409.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.