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Finding the Fourth Proportional to 21,142.28, 31,704.78 and 7,288.04

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Solution

The fourth proportional to 21,142.28, 31,704.78 and 7,288.04 is: 10,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.28 : 31,704.78 = 7,288.04 : x
  2. Step 2: Convert to fraction form
    21,142.28/31,704.78 = 7,288.04/x
  3. Step 3: Cross multiply
    21,142.28x = 31,704.78 × 7,288.04
  4. Step 4: Simplify right side
    21,142.28x = 231,065,704.83
  5. Step 5: Solve for x
    x = 231,065,704.83/21,142.28
  6. Step 6: Final answer
    x = 10,929.08

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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.