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Finding the Fourth Proportional to 25,524.73, 35,226.09 and 14,195.14

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Solution

The fourth proportional to 25,524.73, 35,226.09 and 14,195.14 is: 19,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.73 : 35,226.09 = 14,195.14 : x
  2. Step 2: Convert to fraction form
    25,524.73/35,226.09 = 14,195.14/x
  3. Step 3: Cross multiply
    25,524.73x = 35,226.09 × 14,195.14
  4. Step 4: Simplify right side
    25,524.73x = 500,039,279.20
  5. Step 5: Solve for x
    x = 500,039,279.20/25,524.73
  6. Step 6: Final answer
    x = 19,590.38

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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.