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Finding the Fourth Proportional to 20,955.68, 31,453.25 and 7,641.54

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Solution

The fourth proportional to 20,955.68, 31,453.25 and 7,641.54 is: 11,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.68 : 31,453.25 = 7,641.54 : x
  2. Step 2: Convert to fraction form
    20,955.68/31,453.25 = 7,641.54/x
  3. Step 3: Cross multiply
    20,955.68x = 31,453.25 × 7,641.54
  4. Step 4: Simplify right side
    20,955.68x = 240,351,268.01
  5. Step 5: Solve for x
    x = 240,351,268.01/20,955.68
  6. Step 6: Final answer
    x = 11,469.50

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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.