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Finding the Fourth Proportional to 12,822.80, 17,681.51 and 8,338.23

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Solution

The fourth proportional to 12,822.80, 17,681.51 and 8,338.23 is: 11,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.80 : 17,681.51 = 8,338.23 : x
  2. Step 2: Convert to fraction form
    12,822.80/17,681.51 = 8,338.23/x
  3. Step 3: Cross multiply
    12,822.80x = 17,681.51 × 8,338.23
  4. Step 4: Simplify right side
    12,822.80x = 147,432,455.44
  5. Step 5: Solve for x
    x = 147,432,455.44/12,822.80
  6. Step 6: Final answer
    x = 11,497.68

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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.