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Finding the Fourth Proportional to 20,477.16, 30,688.92 and 19,962

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Solution

The fourth proportional to 20,477.16, 30,688.92 and 19,962 is: 29,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.16 : 30,688.92 = 19,962 : x
  2. Step 2: Convert to fraction form
    20,477.16/30,688.92 = 19,962/x
  3. Step 3: Cross multiply
    20,477.16x = 30,688.92 × 19,962
  4. Step 4: Simplify right side
    20,477.16x = 612,612,221.04
  5. Step 5: Solve for x
    x = 612,612,221.04/20,477.16
  6. Step 6: Final answer
    x = 29,916.85

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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.