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Finding the Fourth Proportional to 26,383.38, 36,407.49 and 14,446.74

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Solution

The fourth proportional to 26,383.38, 36,407.49 and 14,446.74 is: 19,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.38 : 36,407.49 = 14,446.74 : x
  2. Step 2: Convert to fraction form
    26,383.38/36,407.49 = 14,446.74/x
  3. Step 3: Cross multiply
    26,383.38x = 36,407.49 × 14,446.74
  4. Step 4: Simplify right side
    26,383.38x = 525,969,542.08
  5. Step 5: Solve for x
    x = 525,969,542.08/26,383.38
  6. Step 6: Final answer
    x = 19,935.64

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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.