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Finding the Fourth Proportional to 20,810.05, 31,212 and 7,659.36

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Solution

The fourth proportional to 20,810.05, 31,212 and 7,659.36 is: 11,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.05 : 31,212 = 7,659.36 : x
  2. Step 2: Convert to fraction form
    20,810.05/31,212 = 7,659.36/x
  3. Step 3: Cross multiply
    20,810.05x = 31,212 × 7,659.36
  4. Step 4: Simplify right side
    20,810.05x = 239,063,944.32
  5. Step 5: Solve for x
    x = 239,063,944.32/20,810.05
  6. Step 6: Final answer
    x = 11,487.91

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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.