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Finding the Fourth Proportional to 21,147.75, 31,722.13 and 7,107.95

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Solution

The fourth proportional to 21,147.75, 31,722.13 and 7,107.95 is: 10,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.75 : 31,722.13 = 7,107.95 : x
  2. Step 2: Convert to fraction form
    21,147.75/31,722.13 = 7,107.95/x
  3. Step 3: Cross multiply
    21,147.75x = 31,722.13 × 7,107.95
  4. Step 4: Simplify right side
    21,147.75x = 225,479,402.12
  5. Step 5: Solve for x
    x = 225,479,402.12/21,147.75
  6. Step 6: Final answer
    x = 10,662.10

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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.