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Finding the Fourth Proportional to 16,382.39, 22,605.41 and 9,211.31

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Solution

The fourth proportional to 16,382.39, 22,605.41 and 9,211.31 is: 12,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.39 : 22,605.41 = 9,211.31 : x
  2. Step 2: Convert to fraction form
    16,382.39/22,605.41 = 9,211.31/x
  3. Step 3: Cross multiply
    16,382.39x = 22,605.41 × 9,211.31
  4. Step 4: Simplify right side
    16,382.39x = 208,225,280.10
  5. Step 5: Solve for x
    x = 208,225,280.10/16,382.39
  6. Step 6: Final answer
    x = 12,710.32

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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.