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Finding the Fourth Proportional to 17,676.36, 24,384.10 and 10,959.80

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Solution

The fourth proportional to 17,676.36, 24,384.10 and 10,959.80 is: 15,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.36 : 24,384.10 = 10,959.80 : x
  2. Step 2: Convert to fraction form
    17,676.36/24,384.10 = 10,959.80/x
  3. Step 3: Cross multiply
    17,676.36x = 24,384.10 × 10,959.80
  4. Step 4: Simplify right side
    17,676.36x = 267,244,859.18
  5. Step 5: Solve for x
    x = 267,244,859.18/17,676.36
  6. Step 6: Final answer
    x = 15,118.77

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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.