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Finding the Fourth Proportional to 20,756.50, 31,134.42 and 9,656.98

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Solution

The fourth proportional to 20,756.50, 31,134.42 and 9,656.98 is: 14,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.50 : 31,134.42 = 9,656.98 : x
  2. Step 2: Convert to fraction form
    20,756.50/31,134.42 = 9,656.98/x
  3. Step 3: Cross multiply
    20,756.50x = 31,134.42 × 9,656.98
  4. Step 4: Simplify right side
    20,756.50x = 300,664,471.25
  5. Step 5: Solve for x
    x = 300,664,471.25/20,756.50
  6. Step 6: Final answer
    x = 14,485.32

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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.