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Finding the Fourth Proportional to 20,197.08, 30,299.72 and 8,510.30

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Solution

The fourth proportional to 20,197.08, 30,299.72 and 8,510.30 is: 12,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.08 : 30,299.72 = 8,510.30 : x
  2. Step 2: Convert to fraction form
    20,197.08/30,299.72 = 8,510.30/x
  3. Step 3: Cross multiply
    20,197.08x = 30,299.72 × 8,510.30
  4. Step 4: Simplify right side
    20,197.08x = 257,859,513.07
  5. Step 5: Solve for x
    x = 257,859,513.07/20,197.08
  6. Step 6: Final answer
    x = 12,767.17

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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.