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Finding the Fourth Proportional to 14,601.91, 20,152.22 and 8,940.47

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Solution

The fourth proportional to 14,601.91, 20,152.22 and 8,940.47 is: 12,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.91 : 20,152.22 = 8,940.47 : x
  2. Step 2: Convert to fraction form
    14,601.91/20,152.22 = 8,940.47/x
  3. Step 3: Cross multiply
    14,601.91x = 20,152.22 × 8,940.47
  4. Step 4: Simplify right side
    14,601.91x = 180,170,318.34
  5. Step 5: Solve for x
    x = 180,170,318.34/14,601.91
  6. Step 6: Final answer
    x = 12,338.82

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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.