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Finding the Fourth Proportional to 12,983.09, 17,912.14 and 7,677.18

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Solution

The fourth proportional to 12,983.09, 17,912.14 and 7,677.18 is: 10,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.09 : 17,912.14 = 7,677.18 : x
  2. Step 2: Convert to fraction form
    12,983.09/17,912.14 = 7,677.18/x
  3. Step 3: Cross multiply
    12,983.09x = 17,912.14 × 7,677.18
  4. Step 4: Simplify right side
    12,983.09x = 137,514,703.77
  5. Step 5: Solve for x
    x = 137,514,703.77/12,983.09
  6. Step 6: Final answer
    x = 10,591.84

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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.