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Finding the Fourth Proportional to 20,885.76, 31,313.16 and 7,735.68

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Solution

The fourth proportional to 20,885.76, 31,313.16 and 7,735.68 is: 11,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.76 : 31,313.16 = 7,735.68 : x
  2. Step 2: Convert to fraction form
    20,885.76/31,313.16 = 7,735.68/x
  3. Step 3: Cross multiply
    20,885.76x = 31,313.16 × 7,735.68
  4. Step 4: Simplify right side
    20,885.76x = 242,228,585.55
  5. Step 5: Solve for x
    x = 242,228,585.55/20,885.76
  6. Step 6: Final answer
    x = 11,597.79

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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.