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Finding the Fourth Proportional to 23,589.97, 32,554.94 and 13,520.32

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Solution

The fourth proportional to 23,589.97, 32,554.94 and 13,520.32 is: 18,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.97 : 32,554.94 = 13,520.32 : x
  2. Step 2: Convert to fraction form
    23,589.97/32,554.94 = 13,520.32/x
  3. Step 3: Cross multiply
    23,589.97x = 32,554.94 × 13,520.32
  4. Step 4: Simplify right side
    23,589.97x = 440,153,057.39
  5. Step 5: Solve for x
    x = 440,153,057.39/23,589.97
  6. Step 6: Final answer
    x = 18,658.49

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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.