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Finding the Fourth Proportional to 16,349.06, 24,523.82 and 4,662.28

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Solution

The fourth proportional to 16,349.06, 24,523.82 and 4,662.28 is: 6,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.06 : 24,523.82 = 4,662.28 : x
  2. Step 2: Convert to fraction form
    16,349.06/24,523.82 = 4,662.28/x
  3. Step 3: Cross multiply
    16,349.06x = 24,523.82 × 4,662.28
  4. Step 4: Simplify right side
    16,349.06x = 114,336,966.56
  5. Step 5: Solve for x
    x = 114,336,966.56/16,349.06
  6. Step 6: Final answer
    x = 6,993.49

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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.