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Finding the Fourth Proportional to 20,205.99, 30,308.16 and 7,725.51

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Solution

The fourth proportional to 20,205.99, 30,308.16 and 7,725.51 is: 11,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.99 : 30,308.16 = 7,725.51 : x
  2. Step 2: Convert to fraction form
    20,205.99/30,308.16 = 7,725.51/x
  3. Step 3: Cross multiply
    20,205.99x = 30,308.16 × 7,725.51
  4. Step 4: Simplify right side
    20,205.99x = 234,145,993.16
  5. Step 5: Solve for x
    x = 234,145,993.16/20,205.99
  6. Step 6: Final answer
    x = 11,587.95

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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.