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Finding the Fourth Proportional to 20,675.34, 31,017.10 and 5,884.84

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Solution

The fourth proportional to 20,675.34, 31,017.10 and 5,884.84 is: 8,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.34 : 31,017.10 = 5,884.84 : x
  2. Step 2: Convert to fraction form
    20,675.34/31,017.10 = 5,884.84/x
  3. Step 3: Cross multiply
    20,675.34x = 31,017.10 × 5,884.84
  4. Step 4: Simplify right side
    20,675.34x = 182,530,670.76
  5. Step 5: Solve for x
    x = 182,530,670.76/20,675.34
  6. Step 6: Final answer
    x = 8,828.42

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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.