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Finding the Fourth Proportional to 20,712.32, 31,063.23 and 5,921.31

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Solution

The fourth proportional to 20,712.32, 31,063.23 and 5,921.31 is: 8,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.32 : 31,063.23 = 5,921.31 : x
  2. Step 2: Convert to fraction form
    20,712.32/31,063.23 = 5,921.31/x
  3. Step 3: Cross multiply
    20,712.32x = 31,063.23 × 5,921.31
  4. Step 4: Simplify right side
    20,712.32x = 183,935,014.43
  5. Step 5: Solve for x
    x = 183,935,014.43/20,712.32
  6. Step 6: Final answer
    x = 8,880.47

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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.