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Finding the Fourth Proportional to 20,203.12, 30,294.96 and 8,509.96

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Solution

The fourth proportional to 20,203.12, 30,294.96 and 8,509.96 is: 12,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.12 : 30,294.96 = 8,509.96 : x
  2. Step 2: Convert to fraction form
    20,203.12/30,294.96 = 8,509.96/x
  3. Step 3: Cross multiply
    20,203.12x = 30,294.96 × 8,509.96
  4. Step 4: Simplify right side
    20,203.12x = 257,808,897.80
  5. Step 5: Solve for x
    x = 257,808,897.80/20,203.12
  6. Step 6: Final answer
    x = 12,760.85

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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.