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Finding the Fourth Proportional to 16,540.18, 24,813 and 7,664.38

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Solution

The fourth proportional to 16,540.18, 24,813 and 7,664.38 is: 11,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.18 : 24,813 = 7,664.38 : x
  2. Step 2: Convert to fraction form
    16,540.18/24,813 = 7,664.38/x
  3. Step 3: Cross multiply
    16,540.18x = 24,813 × 7,664.38
  4. Step 4: Simplify right side
    16,540.18x = 190,176,260.94
  5. Step 5: Solve for x
    x = 190,176,260.94/16,540.18
  6. Step 6: Final answer
    x = 11,497.84

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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.