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Finding the Fourth Proportional to 20,758.64, 31,137.63 and 9,659.12

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Solution

The fourth proportional to 20,758.64, 31,137.63 and 9,659.12 is: 14,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.64 : 31,137.63 = 9,659.12 : x
  2. Step 2: Convert to fraction form
    20,758.64/31,137.63 = 9,659.12/x
  3. Step 3: Cross multiply
    20,758.64x = 31,137.63 × 9,659.12
  4. Step 4: Simplify right side
    20,758.64x = 300,762,104.69
  5. Step 5: Solve for x
    x = 300,762,104.69/20,758.64
  6. Step 6: Final answer
    x = 14,488.53

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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.