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Finding the Fourth Proportional to 20,160, 27,747.36 and 17,754.18

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Solution

The fourth proportional to 20,160, 27,747.36 and 17,754.18 is: 24,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 27,747.36 = 17,754.18 : x
  2. Step 2: Convert to fraction form
    20,160/27,747.36 = 17,754.18/x
  3. Step 3: Cross multiply
    20,160x = 27,747.36 × 17,754.18
  4. Step 4: Simplify right side
    20,160x = 492,631,623.96
  5. Step 5: Solve for x
    x = 492,631,623.96/20,160
  6. Step 6: Final answer
    x = 24,436.09

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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.