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Finding the Fourth Proportional to 12,172.82, 16,806.76 and 7,637.39

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Solution

The fourth proportional to 12,172.82, 16,806.76 and 7,637.39 is: 10,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.82 : 16,806.76 = 7,637.39 : x
  2. Step 2: Convert to fraction form
    12,172.82/16,806.76 = 7,637.39/x
  3. Step 3: Cross multiply
    12,172.82x = 16,806.76 × 7,637.39
  4. Step 4: Simplify right side
    12,172.82x = 128,359,740.65
  5. Step 5: Solve for x
    x = 128,359,740.65/12,172.82
  6. Step 6: Final answer
    x = 10,544.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.