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Finding the Fourth Proportional to 18,969.57, 28,451.85 and 5,820.84

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Solution

The fourth proportional to 18,969.57, 28,451.85 and 5,820.84 is: 8,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.57 : 28,451.85 = 5,820.84 : x
  2. Step 2: Convert to fraction form
    18,969.57/28,451.85 = 5,820.84/x
  3. Step 3: Cross multiply
    18,969.57x = 28,451.85 × 5,820.84
  4. Step 4: Simplify right side
    18,969.57x = 165,613,559.86
  5. Step 5: Solve for x
    x = 165,613,559.86/18,969.57
  6. Step 6: Final answer
    x = 8,730.49

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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.