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Finding the Fourth Proportional to 18,882.81, 28,324.38 and 5,735.18

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Solution

The fourth proportional to 18,882.81, 28,324.38 and 5,735.18 is: 8,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,882.81 : 28,324.38 = 5,735.18 : x
  2. Step 2: Convert to fraction form
    18,882.81/28,324.38 = 5,735.18/x
  3. Step 3: Cross multiply
    18,882.81x = 28,324.38 × 5,735.18
  4. Step 4: Simplify right side
    18,882.81x = 162,445,430.34
  5. Step 5: Solve for x
    x = 162,445,430.34/18,882.81
  6. Step 6: Final answer
    x = 8,602.82

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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.