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Finding the Fourth Proportional to 20,176.98, 30,253.17 and 7,683.66

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Solution

The fourth proportional to 20,176.98, 30,253.17 and 7,683.66 is: 11,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.98 : 30,253.17 = 7,683.66 : x
  2. Step 2: Convert to fraction form
    20,176.98/30,253.17 = 7,683.66/x
  3. Step 3: Cross multiply
    20,176.98x = 30,253.17 × 7,683.66
  4. Step 4: Simplify right side
    20,176.98x = 232,455,072.20
  5. Step 5: Solve for x
    x = 232,455,072.20/20,176.98
  6. Step 6: Final answer
    x = 11,520.81

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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.