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Finding the Fourth Proportional to 18,735.56, 25,855.02 and 10,352

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Solution

The fourth proportional to 18,735.56, 25,855.02 and 10,352 is: 14,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735.56 : 25,855.02 = 10,352 : x
  2. Step 2: Convert to fraction form
    18,735.56/25,855.02 = 10,352/x
  3. Step 3: Cross multiply
    18,735.56x = 25,855.02 × 10,352
  4. Step 4: Simplify right side
    18,735.56x = 267,651,167.04
  5. Step 5: Solve for x
    x = 267,651,167.04/18,735.56
  6. Step 6: Final answer
    x = 14,285.73

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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.