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Finding the Fourth Proportional to 16,677, 24,965.64 and 10,083.24

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Solution

The fourth proportional to 16,677, 24,965.64 and 10,083.24 is: 15,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,677 : 24,965.64 = 10,083.24 : x
  2. Step 2: Convert to fraction form
    16,677/24,965.64 = 10,083.24/x
  3. Step 3: Cross multiply
    16,677x = 24,965.64 × 10,083.24
  4. Step 4: Simplify right side
    16,677x = 251,734,539.87
  5. Step 5: Solve for x
    x = 251,734,539.87/16,677
  6. Step 6: Final answer
    x = 15,094.71

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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.