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Finding the Fourth Proportional to 20,777.79, 31,162.13 and 5,983.50

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Solution

The fourth proportional to 20,777.79, 31,162.13 and 5,983.50 is: 8,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.79 : 31,162.13 = 5,983.50 : x
  2. Step 2: Convert to fraction form
    20,777.79/31,162.13 = 5,983.50/x
  3. Step 3: Cross multiply
    20,777.79x = 31,162.13 × 5,983.50
  4. Step 4: Simplify right side
    20,777.79x = 186,458,574.94
  5. Step 5: Solve for x
    x = 186,458,574.94/20,777.79
  6. Step 6: Final answer
    x = 8,973.94

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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.