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Finding the Fourth Proportional to 12,847.97, 19,262.61 and 8,677.64

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Solution

The fourth proportional to 12,847.97, 19,262.61 and 8,677.64 is: 13,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.97 : 19,262.61 = 8,677.64 : x
  2. Step 2: Convert to fraction form
    12,847.97/19,262.61 = 8,677.64/x
  3. Step 3: Cross multiply
    12,847.97x = 19,262.61 × 8,677.64
  4. Step 4: Simplify right side
    12,847.97x = 167,153,995.04
  5. Step 5: Solve for x
    x = 167,153,995.04/12,847.97
  6. Step 6: Final answer
    x = 13,010.15

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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.