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Finding the Fourth Proportional to 20,822.35, 31,247.35 and 9,729.89

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Solution

The fourth proportional to 20,822.35, 31,247.35 and 9,729.89 is: 14,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.35 : 31,247.35 = 9,729.89 : x
  2. Step 2: Convert to fraction form
    20,822.35/31,247.35 = 9,729.89/x
  3. Step 3: Cross multiply
    20,822.35x = 31,247.35 × 9,729.89
  4. Step 4: Simplify right side
    20,822.35x = 304,033,445.40
  5. Step 5: Solve for x
    x = 304,033,445.40/20,822.35
  6. Step 6: Final answer
    x = 14,601.30

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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.