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Finding the Fourth Proportional to 20,123.76, 30,185.91 and 6,083.90

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Solution

The fourth proportional to 20,123.76, 30,185.91 and 6,083.90 is: 9,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.76 : 30,185.91 = 6,083.90 : x
  2. Step 2: Convert to fraction form
    20,123.76/30,185.91 = 6,083.90/x
  3. Step 3: Cross multiply
    20,123.76x = 30,185.91 × 6,083.90
  4. Step 4: Simplify right side
    20,123.76x = 183,648,057.85
  5. Step 5: Solve for x
    x = 183,648,057.85/20,123.76
  6. Step 6: Final answer
    x = 9,125.93

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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.