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Finding the Fourth Proportional to 20,145.99, 30,206.77 and 7,666.86

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Solution

The fourth proportional to 20,145.99, 30,206.77 and 7,666.86 is: 11,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.99 : 30,206.77 = 7,666.86 : x
  2. Step 2: Convert to fraction form
    20,145.99/30,206.77 = 7,666.86/x
  3. Step 3: Cross multiply
    20,145.99x = 30,206.77 × 7,666.86
  4. Step 4: Simplify right side
    20,145.99x = 231,591,038.31
  5. Step 5: Solve for x
    x = 231,591,038.31/20,145.99
  6. Step 6: Final answer
    x = 11,495.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.