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Finding the Fourth Proportional to 20,969.68, 31,454.52 and 14,375.87

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Solution

The fourth proportional to 20,969.68, 31,454.52 and 14,375.87 is: 21,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.68 : 31,454.52 = 14,375.87 : x
  2. Step 2: Convert to fraction form
    20,969.68/31,454.52 = 14,375.87/x
  3. Step 3: Cross multiply
    20,969.68x = 31,454.52 × 14,375.87
  4. Step 4: Simplify right side
    20,969.68x = 452,186,090.43
  5. Step 5: Solve for x
    x = 452,186,090.43/20,969.68
  6. Step 6: Final answer
    x = 21,563.81

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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.