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Finding the Fourth Proportional to 20,750.40, 31,121.55 and 6,899.40

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Solution

The fourth proportional to 20,750.40, 31,121.55 and 6,899.40 is: 10,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.40 : 31,121.55 = 6,899.40 : x
  2. Step 2: Convert to fraction form
    20,750.40/31,121.55 = 6,899.40/x
  3. Step 3: Cross multiply
    20,750.40x = 31,121.55 × 6,899.40
  4. Step 4: Simplify right side
    20,750.40x = 214,720,022.07
  5. Step 5: Solve for x
    x = 214,720,022.07/20,750.40
  6. Step 6: Final answer
    x = 10,347.75

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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.