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Finding the Fourth Proportional to 16,382.38, 22,607.66 and 9,308.80

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Solution

The fourth proportional to 16,382.38, 22,607.66 and 9,308.80 is: 12,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.38 : 22,607.66 = 9,308.80 : x
  2. Step 2: Convert to fraction form
    16,382.38/22,607.66 = 9,308.80/x
  3. Step 3: Cross multiply
    16,382.38x = 22,607.66 × 9,308.80
  4. Step 4: Simplify right side
    16,382.38x = 210,450,185.41
  5. Step 5: Solve for x
    x = 210,450,185.41/16,382.38
  6. Step 6: Final answer
    x = 12,846.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.