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Finding the Fourth Proportional to 18,384, 27,583.80 and 5,905.04

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Solution

The fourth proportional to 18,384, 27,583.80 and 5,905.04 is: 8,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 27,583.80 = 5,905.04 : x
  2. Step 2: Convert to fraction form
    18,384/27,583.80 = 5,905.04/x
  3. Step 3: Cross multiply
    18,384x = 27,583.80 × 5,905.04
  4. Step 4: Simplify right side
    18,384x = 162,883,442.35
  5. Step 5: Solve for x
    x = 162,883,442.35/18,384
  6. Step 6: Final answer
    x = 8,860.07

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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.