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Finding the Fourth Proportional to 12,434.96, 18,654.42 and 4,115.28

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Solution

The fourth proportional to 12,434.96, 18,654.42 and 4,115.28 is: 6,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.96 : 18,654.42 = 4,115.28 : x
  2. Step 2: Convert to fraction form
    12,434.96/18,654.42 = 4,115.28/x
  3. Step 3: Cross multiply
    12,434.96x = 18,654.42 × 4,115.28
  4. Step 4: Simplify right side
    12,434.96x = 76,768,161.54
  5. Step 5: Solve for x
    x = 76,768,161.54/12,434.96
  6. Step 6: Final answer
    x = 6,173.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.