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Finding the Fourth Proportional to 12,785.44, 19,171.68 and 5,854

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Solution

The fourth proportional to 12,785.44, 19,171.68 and 5,854 is: 8,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.44 : 19,171.68 = 5,854 : x
  2. Step 2: Convert to fraction form
    12,785.44/19,171.68 = 5,854/x
  3. Step 3: Cross multiply
    12,785.44x = 19,171.68 × 5,854
  4. Step 4: Simplify right side
    12,785.44x = 112,231,014.72
  5. Step 5: Solve for x
    x = 112,231,014.72/12,785.44
  6. Step 6: Final answer
    x = 8,778.03

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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.