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Finding the Fourth Proportional to 16,669, 24,991.16 and 10,093.64

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Solution

The fourth proportional to 16,669, 24,991.16 and 10,093.64 is: 15,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669 : 24,991.16 = 10,093.64 : x
  2. Step 2: Convert to fraction form
    16,669/24,991.16 = 10,093.64/x
  3. Step 3: Cross multiply
    16,669x = 24,991.16 × 10,093.64
  4. Step 4: Simplify right side
    16,669x = 252,251,772.22
  5. Step 5: Solve for x
    x = 252,251,772.22/16,669
  6. Step 6: Final answer
    x = 15,132.99

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Why These Related Problems?

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