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Finding the Fourth Proportional to 20,870.40, 31,310.28 and 7,723.20

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Solution

The fourth proportional to 20,870.40, 31,310.28 and 7,723.20 is: 11,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.40 : 31,310.28 = 7,723.20 : x
  2. Step 2: Convert to fraction form
    20,870.40/31,310.28 = 7,723.20/x
  3. Step 3: Cross multiply
    20,870.40x = 31,310.28 × 7,723.20
  4. Step 4: Simplify right side
    20,870.40x = 241,815,554.50
  5. Step 5: Solve for x
    x = 241,815,554.50/20,870.40
  6. Step 6: Final answer
    x = 11,586.53

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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.