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Finding the Fourth Proportional to 20,614.55, 30,923.84 and 5,823.57

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Solution

The fourth proportional to 20,614.55, 30,923.84 and 5,823.57 is: 8,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.55 : 30,923.84 = 5,823.57 : x
  2. Step 2: Convert to fraction form
    20,614.55/30,923.84 = 5,823.57/x
  3. Step 3: Cross multiply
    20,614.55x = 30,923.84 × 5,823.57
  4. Step 4: Simplify right side
    20,614.55x = 180,087,277.43
  5. Step 5: Solve for x
    x = 180,087,277.43/20,614.55
  6. Step 6: Final answer
    x = 8,735.93

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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.