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Finding the Fourth Proportional to 20,573.31, 30,852.27 and 8,096.13

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Solution

The fourth proportional to 20,573.31, 30,852.27 and 8,096.13 is: 12,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.31 : 30,852.27 = 8,096.13 : x
  2. Step 2: Convert to fraction form
    20,573.31/30,852.27 = 8,096.13/x
  3. Step 3: Cross multiply
    20,573.31x = 30,852.27 × 8,096.13
  4. Step 4: Simplify right side
    20,573.31x = 249,783,988.72
  5. Step 5: Solve for x
    x = 249,783,988.72/20,573.31
  6. Step 6: Final answer
    x = 12,141.17

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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.