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Finding the Fourth Proportional to 20,713.17, 31,065.39 and 6,674.46

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Solution

The fourth proportional to 20,713.17, 31,065.39 and 6,674.46 is: 10,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.17 : 31,065.39 = 6,674.46 : x
  2. Step 2: Convert to fraction form
    20,713.17/31,065.39 = 6,674.46/x
  3. Step 3: Cross multiply
    20,713.17x = 31,065.39 × 6,674.46
  4. Step 4: Simplify right side
    20,713.17x = 207,344,702.94
  5. Step 5: Solve for x
    x = 207,344,702.94/20,713.17
  6. Step 6: Final answer
    x = 10,010.28

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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.