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Finding the Fourth Proportional to 20,850.64, 31,283.22 and 9,164.76

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Solution

The fourth proportional to 20,850.64, 31,283.22 and 9,164.76 is: 13,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.64 : 31,283.22 = 9,164.76 : x
  2. Step 2: Convert to fraction form
    20,850.64/31,283.22 = 9,164.76/x
  3. Step 3: Cross multiply
    20,850.64x = 31,283.22 × 9,164.76
  4. Step 4: Simplify right side
    20,850.64x = 286,703,203.33
  5. Step 5: Solve for x
    x = 286,703,203.33/20,850.64
  6. Step 6: Final answer
    x = 13,750.33

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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.