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Finding the Fourth Proportional to 18,309.20, 27,452.84 and 5,823.84

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Solution

The fourth proportional to 18,309.20, 27,452.84 and 5,823.84 is: 8,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309.20 : 27,452.84 = 5,823.84 : x
  2. Step 2: Convert to fraction form
    18,309.20/27,452.84 = 5,823.84/x
  3. Step 3: Cross multiply
    18,309.20x = 27,452.84 × 5,823.84
  4. Step 4: Simplify right side
    18,309.20x = 159,880,947.71
  5. Step 5: Solve for x
    x = 159,880,947.71/18,309.20
  6. Step 6: Final answer
    x = 8,732.27

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1.5x scale

Why These Related Problems?

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