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Finding the Fourth Proportional to 25,514.31, 35,215.46 and 14,187.78

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Solution

The fourth proportional to 25,514.31, 35,215.46 and 14,187.78 is: 19,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.31 : 35,215.46 = 14,187.78 : x
  2. Step 2: Convert to fraction form
    25,514.31/35,215.46 = 14,187.78/x
  3. Step 3: Cross multiply
    25,514.31x = 35,215.46 × 14,187.78
  4. Step 4: Simplify right side
    25,514.31x = 499,629,199.08
  5. Step 5: Solve for x
    x = 499,629,199.08/25,514.31
  6. Step 6: Final answer
    x = 19,582.31

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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.