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Finding the Fourth Proportional to 20,234.90, 30,356.00 and 9,146.81

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Solution

The fourth proportional to 20,234.90, 30,356.00 and 9,146.81 is: 13,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.90 : 30,356.00 = 9,146.81 : x
  2. Step 2: Convert to fraction form
    20,234.90/30,356.00 = 9,146.81/x
  3. Step 3: Cross multiply
    20,234.90x = 30,356.00 × 9,146.81
  4. Step 4: Simplify right side
    20,234.90x = 277,660,366.85
  5. Step 5: Solve for x
    x = 277,660,366.85/20,234.90
  6. Step 6: Final answer
    x = 13,721.86

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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.