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Finding the Fourth Proportional to 20,950.39, 31,430.22 and 6,914.76

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Solution

The fourth proportional to 20,950.39, 31,430.22 and 6,914.76 is: 10,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.39 : 31,430.22 = 6,914.76 : x
  2. Step 2: Convert to fraction form
    20,950.39/31,430.22 = 6,914.76/x
  3. Step 3: Cross multiply
    20,950.39x = 31,430.22 × 6,914.76
  4. Step 4: Simplify right side
    20,950.39x = 217,332,428.05
  5. Step 5: Solve for x
    x = 217,332,428.05/20,950.39
  6. Step 6: Final answer
    x = 10,373.67

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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.