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Finding the Fourth Proportional to 17,869.49, 26,806.64 and 6,780.29

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Solution

The fourth proportional to 17,869.49, 26,806.64 and 6,780.29 is: 10,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.49 : 26,806.64 = 6,780.29 : x
  2. Step 2: Convert to fraction form
    17,869.49/26,806.64 = 6,780.29/x
  3. Step 3: Cross multiply
    17,869.49x = 26,806.64 × 6,780.29
  4. Step 4: Simplify right side
    17,869.49x = 181,756,759.22
  5. Step 5: Solve for x
    x = 181,756,759.22/17,869.49
  6. Step 6: Final answer
    x = 10,171.35

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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.