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Finding the Fourth Proportional to 16,382.56, 22,606.80 and 9,309.04

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Solution

The fourth proportional to 16,382.56, 22,606.80 and 9,309.04 is: 12,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.56 : 22,606.80 = 9,309.04 : x
  2. Step 2: Convert to fraction form
    16,382.56/22,606.80 = 9,309.04/x
  3. Step 3: Cross multiply
    16,382.56x = 22,606.80 × 9,309.04
  4. Step 4: Simplify right side
    16,382.56x = 210,447,605.47
  5. Step 5: Solve for x
    x = 210,447,605.47/16,382.56
  6. Step 6: Final answer
    x = 12,845.83

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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.