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Finding the Fourth Proportional to 20,139.36, 30,209.05 and 7,656.50

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Solution

The fourth proportional to 20,139.36, 30,209.05 and 7,656.50 is: 11,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.36 : 30,209.05 = 7,656.50 : x
  2. Step 2: Convert to fraction form
    20,139.36/30,209.05 = 7,656.50/x
  3. Step 3: Cross multiply
    20,139.36x = 30,209.05 × 7,656.50
  4. Step 4: Simplify right side
    20,139.36x = 231,295,591.46
  5. Step 5: Solve for x
    x = 231,295,591.46/20,139.36
  6. Step 6: Final answer
    x = 11,484.75

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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.