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Finding the Fourth Proportional to 12,767.09, 17,609.93 and 8,282.83

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Solution

The fourth proportional to 12,767.09, 17,609.93 and 8,282.83 is: 11,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.09 : 17,609.93 = 8,282.83 : x
  2. Step 2: Convert to fraction form
    12,767.09/17,609.93 = 8,282.83/x
  3. Step 3: Cross multiply
    12,767.09x = 17,609.93 × 8,282.83
  4. Step 4: Simplify right side
    12,767.09x = 145,860,056.50
  5. Step 5: Solve for x
    x = 145,860,056.50/12,767.09
  6. Step 6: Final answer
    x = 11,424.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.