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Finding the Fourth Proportional to 20,706.56, 31,032.16 and 7,546.56

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Solution

The fourth proportional to 20,706.56, 31,032.16 and 7,546.56 is: 11,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.56 : 31,032.16 = 7,546.56 : x
  2. Step 2: Convert to fraction form
    20,706.56/31,032.16 = 7,546.56/x
  3. Step 3: Cross multiply
    20,706.56x = 31,032.16 × 7,546.56
  4. Step 4: Simplify right side
    20,706.56x = 234,186,057.37
  5. Step 5: Solve for x
    x = 234,186,057.37/20,706.56
  6. Step 6: Final answer
    x = 11,309.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.