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Finding the Fourth Proportional to 25,842.21, 35,662.62 and 14,514.17

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Solution

The fourth proportional to 25,842.21, 35,662.62 and 14,514.17 is: 20,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.21 : 35,662.62 = 14,514.17 : x
  2. Step 2: Convert to fraction form
    25,842.21/35,662.62 = 14,514.17/x
  3. Step 3: Cross multiply
    25,842.21x = 35,662.62 × 14,514.17
  4. Step 4: Simplify right side
    25,842.21x = 517,613,151.01
  5. Step 5: Solve for x
    x = 517,613,151.01/25,842.21
  6. Step 6: Final answer
    x = 20,029.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.