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Finding the Fourth Proportional to 16,349, 24,523.86 and 4,037

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Solution

The fourth proportional to 16,349, 24,523.86 and 4,037 is: 6,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349 : 24,523.86 = 4,037 : x
  2. Step 2: Convert to fraction form
    16,349/24,523.86 = 4,037/x
  3. Step 3: Cross multiply
    16,349x = 24,523.86 × 4,037
  4. Step 4: Simplify right side
    16,349x = 99,002,822.82
  5. Step 5: Solve for x
    x = 99,002,822.82/16,349
  6. Step 6: Final answer
    x = 6,055.59

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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.