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Finding the Fourth Proportional to 18,827.56, 28,231.62 and 7,732.18

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Solution

The fourth proportional to 18,827.56, 28,231.62 and 7,732.18 is: 11,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827.56 : 28,231.62 = 7,732.18 : x
  2. Step 2: Convert to fraction form
    18,827.56/28,231.62 = 7,732.18/x
  3. Step 3: Cross multiply
    18,827.56x = 28,231.62 × 7,732.18
  4. Step 4: Simplify right side
    18,827.56x = 218,291,967.53
  5. Step 5: Solve for x
    x = 218,291,967.53/18,827.56
  6. Step 6: Final answer
    x = 11,594.28

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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.