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Finding the Fourth Proportional to 20,684.40, 31,026.78 and 5,893.30

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Solution

The fourth proportional to 20,684.40, 31,026.78 and 5,893.30 is: 8,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.40 : 31,026.78 = 5,893.30 : x
  2. Step 2: Convert to fraction form
    20,684.40/31,026.78 = 5,893.30/x
  3. Step 3: Cross multiply
    20,684.40x = 31,026.78 × 5,893.30
  4. Step 4: Simplify right side
    20,684.40x = 182,850,122.57
  5. Step 5: Solve for x
    x = 182,850,122.57/20,684.40
  6. Step 6: Final answer
    x = 8,840.00

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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.