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Finding the Fourth Proportional to 26,382.96, 36,408.42 and 14,446.26

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Solution

The fourth proportional to 26,382.96, 36,408.42 and 14,446.26 is: 19,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.96 : 36,408.42 = 14,446.26 : x
  2. Step 2: Convert to fraction form
    26,382.96/36,408.42 = 14,446.26/x
  3. Step 3: Cross multiply
    26,382.96x = 36,408.42 × 14,446.26
  4. Step 4: Simplify right side
    26,382.96x = 525,965,501.51
  5. Step 5: Solve for x
    x = 525,965,501.51/26,382.96
  6. Step 6: Final answer
    x = 19,935.80

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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.