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Finding the Fourth Proportional to 21,209.96, 31,819.92 and 6,419

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Solution

The fourth proportional to 21,209.96, 31,819.92 and 6,419 is: 9,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.96 : 31,819.92 = 6,419 : x
  2. Step 2: Convert to fraction form
    21,209.96/31,819.92 = 6,419/x
  3. Step 3: Cross multiply
    21,209.96x = 31,819.92 × 6,419
  4. Step 4: Simplify right side
    21,209.96x = 204,252,066.48
  5. Step 5: Solve for x
    x = 204,252,066.48/21,209.96
  6. Step 6: Final answer
    x = 9,630.01

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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.