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Finding the Fourth Proportional to 12,714.11, 17,559.83 and 8,674.00

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Solution

The fourth proportional to 12,714.11, 17,559.83 and 8,674.00 is: 11,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.11 : 17,559.83 = 8,674.00 : x
  2. Step 2: Convert to fraction form
    12,714.11/17,559.83 = 8,674.00/x
  3. Step 3: Cross multiply
    12,714.11x = 17,559.83 × 8,674.00
  4. Step 4: Simplify right side
    12,714.11x = 152,313,943.21
  5. Step 5: Solve for x
    x = 152,313,943.21/12,714.11
  6. Step 6: Final answer
    x = 11,979.92

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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.