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Finding the Fourth Proportional to 12,553.68, 18,738.82 and 11,640

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Solution

The fourth proportional to 12,553.68, 18,738.82 and 11,640 is: 17,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.68 : 18,738.82 = 11,640 : x
  2. Step 2: Convert to fraction form
    12,553.68/18,738.82 = 11,640/x
  3. Step 3: Cross multiply
    12,553.68x = 18,738.82 × 11,640
  4. Step 4: Simplify right side
    12,553.68x = 218,119,864.80
  5. Step 5: Solve for x
    x = 218,119,864.80/12,553.68
  6. Step 6: Final answer
    x = 17,374.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.