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Finding the Fourth Proportional to 20,675.79, 31,009.01 and 5,884.38

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Solution

The fourth proportional to 20,675.79, 31,009.01 and 5,884.38 is: 8,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.79 : 31,009.01 = 5,884.38 : x
  2. Step 2: Convert to fraction form
    20,675.79/31,009.01 = 5,884.38/x
  3. Step 3: Cross multiply
    20,675.79x = 31,009.01 × 5,884.38
  4. Step 4: Simplify right side
    20,675.79x = 182,468,768.84
  5. Step 5: Solve for x
    x = 182,468,768.84/20,675.79
  6. Step 6: Final answer
    x = 8,825.24

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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.