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Finding the Fourth Proportional to 20,196.10, 30,290.10 and 9,666.10

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Solution

The fourth proportional to 20,196.10, 30,290.10 and 9,666.10 is: 14,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.10 : 30,290.10 = 9,666.10 : x
  2. Step 2: Convert to fraction form
    20,196.10/30,290.10 = 9,666.10/x
  3. Step 3: Cross multiply
    20,196.10x = 30,290.10 × 9,666.10
  4. Step 4: Simplify right side
    20,196.10x = 292,787,135.61
  5. Step 5: Solve for x
    x = 292,787,135.61/20,196.10
  6. Step 6: Final answer
    x = 14,497.21

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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.