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Finding the Fourth Proportional to 25,992, 35,869.68 and 14,814

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Solution

The fourth proportional to 25,992, 35,869.68 and 14,814 is: 20,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992 : 35,869.68 = 14,814 : x
  2. Step 2: Convert to fraction form
    25,992/35,869.68 = 14,814/x
  3. Step 3: Cross multiply
    25,992x = 35,869.68 × 14,814
  4. Step 4: Simplify right side
    25,992x = 531,373,439.52
  5. Step 5: Solve for x
    x = 531,373,439.52/25,992
  6. Step 6: Final answer
    x = 20,443.73

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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.