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Finding the Fourth Proportional to 12,785.72, 17,644.14 and 7,120.48

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Solution

The fourth proportional to 12,785.72, 17,644.14 and 7,120.48 is: 9,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.72 : 17,644.14 = 7,120.48 : x
  2. Step 2: Convert to fraction form
    12,785.72/17,644.14 = 7,120.48/x
  3. Step 3: Cross multiply
    12,785.72x = 17,644.14 × 7,120.48
  4. Step 4: Simplify right side
    12,785.72x = 125,634,745.99
  5. Step 5: Solve for x
    x = 125,634,745.99/12,785.72
  6. Step 6: Final answer
    x = 9,826.18

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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.