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Finding the Fourth Proportional to 18,576, 25,635.15 and 10,192.50

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Solution

The fourth proportional to 18,576, 25,635.15 and 10,192.50 is: 14,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 25,635.15 = 10,192.50 : x
  2. Step 2: Convert to fraction form
    18,576/25,635.15 = 10,192.50/x
  3. Step 3: Cross multiply
    18,576x = 25,635.15 × 10,192.50
  4. Step 4: Simplify right side
    18,576x = 261,286,266.38
  5. Step 5: Solve for x
    x = 261,286,266.38/18,576
  6. Step 6: Final answer
    x = 14,065.80

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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.