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Finding the Fourth Proportional to 18,713, 25,825.16 and 10,329.50

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Solution

The fourth proportional to 18,713, 25,825.16 and 10,329.50 is: 14,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,713 : 25,825.16 = 10,329.50 : x
  2. Step 2: Convert to fraction form
    18,713/25,825.16 = 10,329.50/x
  3. Step 3: Cross multiply
    18,713x = 25,825.16 × 10,329.50
  4. Step 4: Simplify right side
    18,713x = 266,760,990.22
  5. Step 5: Solve for x
    x = 266,760,990.22/18,713
  6. Step 6: Final answer
    x = 14,255.38

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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.