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Finding the Fourth Proportional to 20,735.76, 31,108.50 and 9,650.16

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Solution

The fourth proportional to 20,735.76, 31,108.50 and 9,650.16 is: 14,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.76 : 31,108.50 = 9,650.16 : x
  2. Step 2: Convert to fraction form
    20,735.76/31,108.50 = 9,650.16/x
  3. Step 3: Cross multiply
    20,735.76x = 31,108.50 × 9,650.16
  4. Step 4: Simplify right side
    20,735.76x = 300,202,002.36
  5. Step 5: Solve for x
    x = 300,202,002.36/20,735.76
  6. Step 6: Final answer
    x = 14,477.50

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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.