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Finding the Fourth Proportional to 20,348.40, 30,513.06 and 7,874.31

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Solution

The fourth proportional to 20,348.40, 30,513.06 and 7,874.31 is: 11,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.40 : 30,513.06 = 7,874.31 : x
  2. Step 2: Convert to fraction form
    20,348.40/30,513.06 = 7,874.31/x
  3. Step 3: Cross multiply
    20,348.40x = 30,513.06 × 7,874.31
  4. Step 4: Simplify right side
    20,348.40x = 240,269,293.49
  5. Step 5: Solve for x
    x = 240,269,293.49/20,348.40
  6. Step 6: Final answer
    x = 11,807.77

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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.