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Finding the Fourth Proportional to 12,781.42, 19,162.54 and 8,609.73

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Solution

The fourth proportional to 12,781.42, 19,162.54 and 8,609.73 is: 12,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.42 : 19,162.54 = 8,609.73 : x
  2. Step 2: Convert to fraction form
    12,781.42/19,162.54 = 8,609.73/x
  3. Step 3: Cross multiply
    12,781.42x = 19,162.54 × 8,609.73
  4. Step 4: Simplify right side
    12,781.42x = 164,984,295.51
  5. Step 5: Solve for x
    x = 164,984,295.51/12,781.42
  6. Step 6: Final answer
    x = 12,908.14

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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.