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Finding the Fourth Proportional to 18,676.96, 25,774.14 and 10,293.46

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Solution

The fourth proportional to 18,676.96, 25,774.14 and 10,293.46 is: 14,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676.96 : 25,774.14 = 10,293.46 : x
  2. Step 2: Convert to fraction form
    18,676.96/25,774.14 = 10,293.46/x
  3. Step 3: Cross multiply
    18,676.96x = 25,774.14 × 10,293.46
  4. Step 4: Simplify right side
    18,676.96x = 265,305,079.12
  5. Step 5: Solve for x
    x = 265,305,079.12/18,676.96
  6. Step 6: Final answer
    x = 14,204.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.