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Finding the Fourth Proportional to 16,638.66, 24,964.07 and 7,874.26

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Solution

The fourth proportional to 16,638.66, 24,964.07 and 7,874.26 is: 11,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.66 : 24,964.07 = 7,874.26 : x
  2. Step 2: Convert to fraction form
    16,638.66/24,964.07 = 7,874.26/x
  3. Step 3: Cross multiply
    16,638.66x = 24,964.07 × 7,874.26
  4. Step 4: Simplify right side
    16,638.66x = 196,573,476.06
  5. Step 5: Solve for x
    x = 196,573,476.06/16,638.66
  6. Step 6: Final answer
    x = 11,814.26

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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.