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Finding the Fourth Proportional to 20,805.98, 31,212.06 and 7,657.40

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Solution

The fourth proportional to 20,805.98, 31,212.06 and 7,657.40 is: 11,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.98 : 31,212.06 = 7,657.40 : x
  2. Step 2: Convert to fraction form
    20,805.98/31,212.06 = 7,657.40/x
  3. Step 3: Cross multiply
    20,805.98x = 31,212.06 × 7,657.40
  4. Step 4: Simplify right side
    20,805.98x = 239,003,228.24
  5. Step 5: Solve for x
    x = 239,003,228.24/20,805.98
  6. Step 6: Final answer
    x = 11,487.24

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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.