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Finding the Fourth Proportional to 20,735.95, 31,103.70 and 9,636.47

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Solution

The fourth proportional to 20,735.95, 31,103.70 and 9,636.47 is: 14,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.95 : 31,103.70 = 9,636.47 : x
  2. Step 2: Convert to fraction form
    20,735.95/31,103.70 = 9,636.47/x
  3. Step 3: Cross multiply
    20,735.95x = 31,103.70 × 9,636.47
  4. Step 4: Simplify right side
    20,735.95x = 299,729,796.92
  5. Step 5: Solve for x
    x = 299,729,796.92/20,735.95
  6. Step 6: Final answer
    x = 14,454.60

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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.