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Finding the Fourth Proportional to 20,806.84, 31,195.68 and 7,657.50

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Solution

The fourth proportional to 20,806.84, 31,195.68 and 7,657.50 is: 11,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.84 : 31,195.68 = 7,657.50 : x
  2. Step 2: Convert to fraction form
    20,806.84/31,195.68 = 7,657.50/x
  3. Step 3: Cross multiply
    20,806.84x = 31,195.68 × 7,657.50
  4. Step 4: Simplify right side
    20,806.84x = 238,880,997.59
  5. Step 5: Solve for x
    x = 238,880,997.59/20,806.84
  6. Step 6: Final answer
    x = 11,480.89

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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.