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Finding the Fourth Proportional to 20,199.98, 30,300.34 and 7,725.80

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Solution

The fourth proportional to 20,199.98, 30,300.34 and 7,725.80 is: 11,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.98 : 30,300.34 = 7,725.80 : x
  2. Step 2: Convert to fraction form
    20,199.98/30,300.34 = 7,725.80/x
  3. Step 3: Cross multiply
    20,199.98x = 30,300.34 × 7,725.80
  4. Step 4: Simplify right side
    20,199.98x = 234,094,366.77
  5. Step 5: Solve for x
    x = 234,094,366.77/20,199.98
  6. Step 6: Final answer
    x = 11,588.84

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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.