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Finding the Fourth Proportional to 18,654, 27,981 and 5,506.19

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Solution

The fourth proportional to 18,654, 27,981 and 5,506.19 is: 8,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654 : 27,981 = 5,506.19 : x
  2. Step 2: Convert to fraction form
    18,654/27,981 = 5,506.19/x
  3. Step 3: Cross multiply
    18,654x = 27,981 × 5,506.19
  4. Step 4: Simplify right side
    18,654x = 154,068,562.49
  5. Step 5: Solve for x
    x = 154,068,562.49/18,654
  6. Step 6: Final answer
    x = 8,259.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.