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Finding the Fourth Proportional to 26,590.85, 36,695.38 and 14,491.34

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Solution

The fourth proportional to 26,590.85, 36,695.38 and 14,491.34 is: 19,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,590.85 : 36,695.38 = 14,491.34 : x
  2. Step 2: Convert to fraction form
    26,590.85/36,695.38 = 14,491.34/x
  3. Step 3: Cross multiply
    26,590.85x = 36,695.38 × 14,491.34
  4. Step 4: Simplify right side
    26,590.85x = 531,765,062.93
  5. Step 5: Solve for x
    x = 531,765,062.93/26,590.85
  6. Step 6: Final answer
    x = 19,998.05

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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.