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Finding the Fourth Proportional to 26,478.60, 36,540.73 and 14,542.19

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Solution

The fourth proportional to 26,478.60, 36,540.73 and 14,542.19 is: 20,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.60 : 36,540.73 = 14,542.19 : x
  2. Step 2: Convert to fraction form
    26,478.60/36,540.73 = 14,542.19/x
  3. Step 3: Cross multiply
    26,478.60x = 36,540.73 × 14,542.19
  4. Step 4: Simplify right side
    26,478.60x = 531,382,238.40
  5. Step 5: Solve for x
    x = 531,382,238.40/26,478.60
  6. Step 6: Final answer
    x = 20,068.37

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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.