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Finding the Fourth Proportional to 25,972.70, 35,843.38 and 14,642.62

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Solution

The fourth proportional to 25,972.70, 35,843.38 and 14,642.62 is: 20,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.70 : 35,843.38 = 14,642.62 : x
  2. Step 2: Convert to fraction form
    25,972.70/35,843.38 = 14,642.62/x
  3. Step 3: Cross multiply
    25,972.70x = 35,843.38 × 14,642.62
  4. Step 4: Simplify right side
    25,972.70x = 524,840,992.86
  5. Step 5: Solve for x
    x = 524,840,992.86/25,972.70
  6. Step 6: Final answer
    x = 20,207.41

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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.