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Finding the Fourth Proportional to 12,288, 16,952.09 and 7,809.35

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Solution

The fourth proportional to 12,288, 16,952.09 and 7,809.35 is: 10,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 16,952.09 = 7,809.35 : x
  2. Step 2: Convert to fraction form
    12,288/16,952.09 = 7,809.35/x
  3. Step 3: Cross multiply
    12,288x = 16,952.09 × 7,809.35
  4. Step 4: Simplify right side
    12,288x = 132,384,804.04
  5. Step 5: Solve for x
    x = 132,384,804.04/12,288
  6. Step 6: Final answer
    x = 10,773.50

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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.