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Finding the Fourth Proportional to 25,832.70, 38,712.09 and 14,716.44

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Solution

The fourth proportional to 25,832.70, 38,712.09 and 14,716.44 is: 22,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.70 : 38,712.09 = 14,716.44 : x
  2. Step 2: Convert to fraction form
    25,832.70/38,712.09 = 14,716.44/x
  3. Step 3: Cross multiply
    25,832.70x = 38,712.09 × 14,716.44
  4. Step 4: Simplify right side
    25,832.70x = 569,704,149.76
  5. Step 5: Solve for x
    x = 569,704,149.76/25,832.70
  6. Step 6: Final answer
    x = 22,053.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.