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Finding the Fourth Proportional to 20,235.45, 30,355.38 and 7,766.07

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Solution

The fourth proportional to 20,235.45, 30,355.38 and 7,766.07 is: 11,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.45 : 30,355.38 = 7,766.07 : x
  2. Step 2: Convert to fraction form
    20,235.45/30,355.38 = 7,766.07/x
  3. Step 3: Cross multiply
    20,235.45x = 30,355.38 × 7,766.07
  4. Step 4: Simplify right side
    20,235.45x = 235,742,005.96
  5. Step 5: Solve for x
    x = 235,742,005.96/20,235.45
  6. Step 6: Final answer
    x = 11,649.95

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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.