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Finding the Fourth Proportional to 20,892.98, 31,339.48 and 7,729.94

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Solution

The fourth proportional to 20,892.98, 31,339.48 and 7,729.94 is: 11,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.98 : 31,339.48 = 7,729.94 : x
  2. Step 2: Convert to fraction form
    20,892.98/31,339.48 = 7,729.94/x
  3. Step 3: Cross multiply
    20,892.98x = 31,339.48 × 7,729.94
  4. Step 4: Simplify right side
    20,892.98x = 242,252,300.03
  5. Step 5: Solve for x
    x = 242,252,300.03/20,892.98
  6. Step 6: Final answer
    x = 11,594.91

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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.