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Finding the Fourth Proportional to 20,965.88, 31,459.64 and 9,287.36

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Solution

The fourth proportional to 20,965.88, 31,459.64 and 9,287.36 is: 13,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.88 : 31,459.64 = 9,287.36 : x
  2. Step 2: Convert to fraction form
    20,965.88/31,459.64 = 9,287.36/x
  3. Step 3: Cross multiply
    20,965.88x = 31,459.64 × 9,287.36
  4. Step 4: Simplify right side
    20,965.88x = 292,177,002.15
  5. Step 5: Solve for x
    x = 292,177,002.15/20,965.88
  6. Step 6: Final answer
    x = 13,935.83

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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.