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Finding the Fourth Proportional to 20,449.71, 30,668.90 and 5,657.49

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Solution

The fourth proportional to 20,449.71, 30,668.90 and 5,657.49 is: 8,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.71 : 30,668.90 = 5,657.49 : x
  2. Step 2: Convert to fraction form
    20,449.71/30,668.90 = 5,657.49/x
  3. Step 3: Cross multiply
    20,449.71x = 30,668.90 × 5,657.49
  4. Step 4: Simplify right side
    20,449.71x = 173,508,966.77
  5. Step 5: Solve for x
    x = 173,508,966.77/20,449.71
  6. Step 6: Final answer
    x = 8,484.67

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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.