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Finding the Fourth Proportional to 20,809.50, 31,207.74 and 6,955.26

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Solution

The fourth proportional to 20,809.50, 31,207.74 and 6,955.26 is: 10,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.50 : 31,207.74 = 6,955.26 : x
  2. Step 2: Convert to fraction form
    20,809.50/31,207.74 = 6,955.26/x
  3. Step 3: Cross multiply
    20,809.50x = 31,207.74 × 6,955.26
  4. Step 4: Simplify right side
    20,809.50x = 217,057,945.71
  5. Step 5: Solve for x
    x = 217,057,945.71/20,809.50
  6. Step 6: Final answer
    x = 10,430.71

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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.