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Finding the Fourth Proportional to 20,859.12, 31,286.84 and 7,711.60

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Solution

The fourth proportional to 20,859.12, 31,286.84 and 7,711.60 is: 11,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.12 : 31,286.84 = 7,711.60 : x
  2. Step 2: Convert to fraction form
    20,859.12/31,286.84 = 7,711.60/x
  3. Step 3: Cross multiply
    20,859.12x = 31,286.84 × 7,711.60
  4. Step 4: Simplify right side
    20,859.12x = 241,271,595.34
  5. Step 5: Solve for x
    x = 241,271,595.34/20,859.12
  6. Step 6: Final answer
    x = 11,566.72

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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.