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Finding the Fourth Proportional to 12,730.96, 19,081.86 and 6,892.48

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Solution

The fourth proportional to 12,730.96, 19,081.86 and 6,892.48 is: 10,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.96 : 19,081.86 = 6,892.48 : x
  2. Step 2: Convert to fraction form
    12,730.96/19,081.86 = 6,892.48/x
  3. Step 3: Cross multiply
    12,730.96x = 19,081.86 × 6,892.48
  4. Step 4: Simplify right side
    12,730.96x = 131,521,338.41
  5. Step 5: Solve for x
    x = 131,521,338.41/12,730.96
  6. Step 6: Final answer
    x = 10,330.83

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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.