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Finding the Fourth Proportional to 12,808.96, 19,176.08 and 7,863.61

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Solution

The fourth proportional to 12,808.96, 19,176.08 and 7,863.61 is: 11,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.96 : 19,176.08 = 7,863.61 : x
  2. Step 2: Convert to fraction form
    12,808.96/19,176.08 = 7,863.61/x
  3. Step 3: Cross multiply
    12,808.96x = 19,176.08 × 7,863.61
  4. Step 4: Simplify right side
    12,808.96x = 150,793,127.19
  5. Step 5: Solve for x
    x = 150,793,127.19/12,808.96
  6. Step 6: Final answer
    x = 11,772.47

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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.