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Finding the Fourth Proportional to 12,778.36, 19,165.92 and 4,992.64

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Solution

The fourth proportional to 12,778.36, 19,165.92 and 4,992.64 is: 7,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.36 : 19,165.92 = 4,992.64 : x
  2. Step 2: Convert to fraction form
    12,778.36/19,165.92 = 4,992.64/x
  3. Step 3: Cross multiply
    12,778.36x = 19,165.92 × 4,992.64
  4. Step 4: Simplify right side
    12,778.36x = 95,688,538.83
  5. Step 5: Solve for x
    x = 95,688,538.83/12,778.36
  6. Step 6: Final answer
    x = 7,488.33

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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.