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Finding the Fourth Proportional to 21,086.16, 31,604.88 and 7,930.14

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Solution

The fourth proportional to 21,086.16, 31,604.88 and 7,930.14 is: 11,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.16 : 31,604.88 = 7,930.14 : x
  2. Step 2: Convert to fraction form
    21,086.16/31,604.88 = 7,930.14/x
  3. Step 3: Cross multiply
    21,086.16x = 31,604.88 × 7,930.14
  4. Step 4: Simplify right side
    21,086.16x = 250,631,123.08
  5. Step 5: Solve for x
    x = 250,631,123.08/21,086.16
  6. Step 6: Final answer
    x = 11,886.05

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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.