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Finding the Fourth Proportional to 20,897.68, 31,345.20 and 9,806.80

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Solution

The fourth proportional to 20,897.68, 31,345.20 and 9,806.80 is: 14,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.68 : 31,345.20 = 9,806.80 : x
  2. Step 2: Convert to fraction form
    20,897.68/31,345.20 = 9,806.80/x
  3. Step 3: Cross multiply
    20,897.68x = 31,345.20 × 9,806.80
  4. Step 4: Simplify right side
    20,897.68x = 307,396,107.36
  5. Step 5: Solve for x
    x = 307,396,107.36/20,897.68
  6. Step 6: Final answer
    x = 14,709.58

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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.