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Finding the Fourth Proportional to 20,897.56, 31,345.22 and 6,855.73

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Solution

The fourth proportional to 20,897.56, 31,345.22 and 6,855.73 is: 10,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.56 : 31,345.22 = 6,855.73 : x
  2. Step 2: Convert to fraction form
    20,897.56/31,345.22 = 6,855.73/x
  3. Step 3: Cross multiply
    20,897.56x = 31,345.22 × 6,855.73
  4. Step 4: Simplify right side
    20,897.56x = 214,894,365.11
  5. Step 5: Solve for x
    x = 214,894,365.11/20,897.56
  6. Step 6: Final answer
    x = 10,283.23

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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.