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Finding the Fourth Proportional to 21,115.68, 31,668.12 and 7,964.16

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Solution

The fourth proportional to 21,115.68, 31,668.12 and 7,964.16 is: 11,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.68 : 31,668.12 = 7,964.16 : x
  2. Step 2: Convert to fraction form
    21,115.68/31,668.12 = 7,964.16/x
  3. Step 3: Cross multiply
    21,115.68x = 31,668.12 × 7,964.16
  4. Step 4: Simplify right side
    21,115.68x = 252,209,974.58
  5. Step 5: Solve for x
    x = 252,209,974.58/21,115.68
  6. Step 6: Final answer
    x = 11,944.20

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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.