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Finding the Fourth Proportional to 13,456.80, 18,593.40 and 12,983.76

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Solution

The fourth proportional to 13,456.80, 18,593.40 and 12,983.76 is: 17,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.80 : 18,593.40 = 12,983.76 : x
  2. Step 2: Convert to fraction form
    13,456.80/18,593.40 = 12,983.76/x
  3. Step 3: Cross multiply
    13,456.80x = 18,593.40 × 12,983.76
  4. Step 4: Simplify right side
    13,456.80x = 241,412,243.18
  5. Step 5: Solve for x
    x = 241,412,243.18/13,456.80
  6. Step 6: Final answer
    x = 17,939.80

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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.