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Finding the Fourth Proportional to 20,426.90, 30,636.69 and 5,434.11

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Solution

The fourth proportional to 20,426.90, 30,636.69 and 5,434.11 is: 8,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.90 : 30,636.69 = 5,434.11 : x
  2. Step 2: Convert to fraction form
    20,426.90/30,636.69 = 5,434.11/x
  3. Step 3: Cross multiply
    20,426.90x = 30,636.69 × 5,434.11
  4. Step 4: Simplify right side
    20,426.90x = 166,483,143.50
  5. Step 5: Solve for x
    x = 166,483,143.50/20,426.90
  6. Step 6: Final answer
    x = 8,150.19

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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.