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Finding the Fourth Proportional to 17,022.80, 23,491.92 and 10,307

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Solution

The fourth proportional to 17,022.80, 23,491.92 and 10,307 is: 14,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.80 : 23,491.92 = 10,307 : x
  2. Step 2: Convert to fraction form
    17,022.80/23,491.92 = 10,307/x
  3. Step 3: Cross multiply
    17,022.80x = 23,491.92 × 10,307
  4. Step 4: Simplify right side
    17,022.80x = 242,131,219.44
  5. Step 5: Solve for x
    x = 242,131,219.44/17,022.80
  6. Step 6: Final answer
    x = 14,223.94

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1.5x scale

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.