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Finding the Fourth Proportional to 17,717, 24,461.20 and 11,012.64

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Solution

The fourth proportional to 17,717, 24,461.20 and 11,012.64 is: 15,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717 : 24,461.20 = 11,012.64 : x
  2. Step 2: Convert to fraction form
    17,717/24,461.20 = 11,012.64/x
  3. Step 3: Cross multiply
    17,717x = 24,461.20 × 11,012.64
  4. Step 4: Simplify right side
    17,717x = 269,382,389.57
  5. Step 5: Solve for x
    x = 269,382,389.57/17,717
  6. Step 6: Final answer
    x = 15,204.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.