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Finding the Fourth Proportional to 12,676.32, 19,020.24 and 6,524.64

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Solution

The fourth proportional to 12,676.32, 19,020.24 and 6,524.64 is: 9,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.32 : 19,020.24 = 6,524.64 : x
  2. Step 2: Convert to fraction form
    12,676.32/19,020.24 = 6,524.64/x
  3. Step 3: Cross multiply
    12,676.32x = 19,020.24 × 6,524.64
  4. Step 4: Simplify right side
    12,676.32x = 124,100,218.71
  5. Step 5: Solve for x
    x = 124,100,218.71/12,676.32
  6. Step 6: Final answer
    x = 9,789.92

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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.