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Finding the Fourth Proportional to 14,905.38, 20,561.49 and 9,238.26

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Solution

The fourth proportional to 14,905.38, 20,561.49 and 9,238.26 is: 12,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.38 : 20,561.49 = 9,238.26 : x
  2. Step 2: Convert to fraction form
    14,905.38/20,561.49 = 9,238.26/x
  3. Step 3: Cross multiply
    14,905.38x = 20,561.49 × 9,238.26
  4. Step 4: Simplify right side
    14,905.38x = 189,952,390.61
  5. Step 5: Solve for x
    x = 189,952,390.61/14,905.38
  6. Step 6: Final answer
    x = 12,743.88

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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.