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Finding the Fourth Proportional to 12,357.72, 17,052.96 and 6,767.64

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Solution

The fourth proportional to 12,357.72, 17,052.96 and 6,767.64 is: 9,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.72 : 17,052.96 = 6,767.64 : x
  2. Step 2: Convert to fraction form
    12,357.72/17,052.96 = 6,767.64/x
  3. Step 3: Cross multiply
    12,357.72x = 17,052.96 × 6,767.64
  4. Step 4: Simplify right side
    12,357.72x = 115,408,294.21
  5. Step 5: Solve for x
    x = 115,408,294.21/12,357.72
  6. Step 6: Final answer
    x = 9,338.96

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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.