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Finding the Fourth Proportional to 20,097.40, 30,156.90 and 8,411.80

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Solution

The fourth proportional to 20,097.40, 30,156.90 and 8,411.80 is: 12,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.40 : 30,156.90 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    20,097.40/30,156.90 = 8,411.80/x
  3. Step 3: Cross multiply
    20,097.40x = 30,156.90 × 8,411.80
  4. Step 4: Simplify right side
    20,097.40x = 253,673,811.42
  5. Step 5: Solve for x
    x = 253,673,811.42/20,097.40
  6. Step 6: Final answer
    x = 12,622.22

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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.