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Finding the Fourth Proportional to 20,102.34, 30,153.62 and 8,253.05

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Solution

The fourth proportional to 20,102.34, 30,153.62 and 8,253.05 is: 12,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.34 : 30,153.62 = 8,253.05 : x
  2. Step 2: Convert to fraction form
    20,102.34/30,153.62 = 8,253.05/x
  3. Step 3: Cross multiply
    20,102.34x = 30,153.62 × 8,253.05
  4. Step 4: Simplify right side
    20,102.34x = 248,859,141.51
  5. Step 5: Solve for x
    x = 248,859,141.51/20,102.34
  6. Step 6: Final answer
    x = 12,379.61

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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.