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Finding the Fourth Proportional to 21,150.88, 31,704.72 and 7,288

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Solution

The fourth proportional to 21,150.88, 31,704.72 and 7,288 is: 10,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150.88 : 31,704.72 = 7,288 : x
  2. Step 2: Convert to fraction form
    21,150.88/31,704.72 = 7,288/x
  3. Step 3: Cross multiply
    21,150.88x = 31,704.72 × 7,288
  4. Step 4: Simplify right side
    21,150.88x = 231,063,999.36
  5. Step 5: Solve for x
    x = 231,063,999.36/21,150.88
  6. Step 6: Final answer
    x = 10,924.56

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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.