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Finding the Fourth Proportional to 20,775.94, 31,156.62 and 5,980.88

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Solution

The fourth proportional to 20,775.94, 31,156.62 and 5,980.88 is: 8,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.94 : 31,156.62 = 5,980.88 : x
  2. Step 2: Convert to fraction form
    20,775.94/31,156.62 = 5,980.88/x
  3. Step 3: Cross multiply
    20,775.94x = 31,156.62 × 5,980.88
  4. Step 4: Simplify right side
    20,775.94x = 186,344,005.43
  5. Step 5: Solve for x
    x = 186,344,005.43/20,775.94
  6. Step 6: Final answer
    x = 8,969.22

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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.