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Finding the Fourth Proportional to 18,676.50, 25,774.12 and 10,293.54

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Solution

The fourth proportional to 18,676.50, 25,774.12 and 10,293.54 is: 14,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676.50 : 25,774.12 = 10,293.54 : x
  2. Step 2: Convert to fraction form
    18,676.50/25,774.12 = 10,293.54/x
  3. Step 3: Cross multiply
    18,676.50x = 25,774.12 × 10,293.54
  4. Step 4: Simplify right side
    18,676.50x = 265,306,935.18
  5. Step 5: Solve for x
    x = 265,306,935.18/18,676.50
  6. Step 6: Final answer
    x = 14,205.39

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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.