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Finding the Fourth Proportional to 20,780.94, 31,164.12 and 5,985.90

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Solution

The fourth proportional to 20,780.94, 31,164.12 and 5,985.90 is: 8,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.94 : 31,164.12 = 5,985.90 : x
  2. Step 2: Convert to fraction form
    20,780.94/31,164.12 = 5,985.90/x
  3. Step 3: Cross multiply
    20,780.94x = 31,164.12 × 5,985.90
  4. Step 4: Simplify right side
    20,780.94x = 186,545,305.91
  5. Step 5: Solve for x
    x = 186,545,305.91/20,780.94
  6. Step 6: Final answer
    x = 8,976.75

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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.