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Finding the Fourth Proportional to 12,806.84, 17,669.38 and 10,109.54

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Solution

The fourth proportional to 12,806.84, 17,669.38 and 10,109.54 is: 13,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.84 : 17,669.38 = 10,109.54 : x
  2. Step 2: Convert to fraction form
    12,806.84/17,669.38 = 10,109.54/x
  3. Step 3: Cross multiply
    12,806.84x = 17,669.38 × 10,109.54
  4. Step 4: Simplify right side
    12,806.84x = 178,629,303.89
  5. Step 5: Solve for x
    x = 178,629,303.89/12,806.84
  6. Step 6: Final answer
    x = 13,947.96

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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.