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Finding the Fourth Proportional to 14,641.22, 20,196.06 and 8,976.92

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Solution

The fourth proportional to 14,641.22, 20,196.06 and 8,976.92 is: 12,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.22 : 20,196.06 = 8,976.92 : x
  2. Step 2: Convert to fraction form
    14,641.22/20,196.06 = 8,976.92/x
  3. Step 3: Cross multiply
    14,641.22x = 20,196.06 × 8,976.92
  4. Step 4: Simplify right side
    14,641.22x = 181,298,414.94
  5. Step 5: Solve for x
    x = 181,298,414.94/14,641.22
  6. Step 6: Final answer
    x = 12,382.74

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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.