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Finding the Fourth Proportional to 20,897.01, 31,342.64 and 7,747.56

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Solution

The fourth proportional to 20,897.01, 31,342.64 and 7,747.56 is: 11,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.01 : 31,342.64 = 7,747.56 : x
  2. Step 2: Convert to fraction form
    20,897.01/31,342.64 = 7,747.56/x
  3. Step 3: Cross multiply
    20,897.01x = 31,342.64 × 7,747.56
  4. Step 4: Simplify right side
    20,897.01x = 242,828,945.22
  5. Step 5: Solve for x
    x = 242,828,945.22/20,897.01
  6. Step 6: Final answer
    x = 11,620.27

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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.