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Finding the Fourth Proportional to 25,855.27, 35,678.17 and 14,524.15

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Solution

The fourth proportional to 25,855.27, 35,678.17 and 14,524.15 is: 20,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.27 : 35,678.17 = 14,524.15 : x
  2. Step 2: Convert to fraction form
    25,855.27/35,678.17 = 14,524.15/x
  3. Step 3: Cross multiply
    25,855.27x = 35,678.17 × 14,524.15
  4. Step 4: Simplify right side
    25,855.27x = 518,195,092.81
  5. Step 5: Solve for x
    x = 518,195,092.81/25,855.27
  6. Step 6: Final answer
    x = 20,042.15

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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.