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Finding the Fourth Proportional to 20,466.92, 30,707.64 and 11,709.20

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Solution

The fourth proportional to 20,466.92, 30,707.64 and 11,709.20 is: 17,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466.92 : 30,707.64 = 11,709.20 : x
  2. Step 2: Convert to fraction form
    20,466.92/30,707.64 = 11,709.20/x
  3. Step 3: Cross multiply
    20,466.92x = 30,707.64 × 11,709.20
  4. Step 4: Simplify right side
    20,466.92x = 359,561,898.29
  5. Step 5: Solve for x
    x = 359,561,898.29/20,466.92
  6. Step 6: Final answer
    x = 17,567.95

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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.